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Finding the Fourth Proportional to 7,642,616.62, 10,546,894.64 and 4,157,975.20

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Solution

The fourth proportional to 7,642,616.62, 10,546,894.64 and 4,157,975.20 is: 5,738,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642,616.62 : 10,546,894.64 = 4,157,975.20 : x
  2. Step 2: Convert to fraction form
    7,642,616.62/10,546,894.64 = 4,157,975.20/x
  3. Step 3: Cross multiply
    7,642,616.62x = 10,546,894.64 × 4,157,975.20
  4. Step 4: Simplify right side
    7,642,616.62x = 43,853,726,366,055.65
  5. Step 5: Solve for x
    x = 43,853,726,366,055.65/7,642,616.62
  6. Step 6: Final answer
    x = 5,738,051.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.