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Finding the Fourth Proportional to 7,668,449.84, 10,582,387.80 and 4,230,718.64

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Solution

The fourth proportional to 7,668,449.84, 10,582,387.80 and 4,230,718.64 is: 5,838,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668,449.84 : 10,582,387.80 = 4,230,718.64 : x
  2. Step 2: Convert to fraction form
    7,668,449.84/10,582,387.80 = 4,230,718.64/x
  3. Step 3: Cross multiply
    7,668,449.84x = 10,582,387.80 × 4,230,718.64
  4. Step 4: Simplify right side
    7,668,449.84x = 44,771,105,321,168.59
  5. Step 5: Solve for x
    x = 44,771,105,321,168.59/7,668,449.84
  6. Step 6: Final answer
    x = 5,838,351.46

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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.