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Finding the Fourth Proportional to 7,242.74, 9,995.16 and 4,056.01

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Solution

The fourth proportional to 7,242.74, 9,995.16 and 4,056.01 is: 5,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.74 : 9,995.16 = 4,056.01 : x
  2. Step 2: Convert to fraction form
    7,242.74/9,995.16 = 4,056.01/x
  3. Step 3: Cross multiply
    7,242.74x = 9,995.16 × 4,056.01
  4. Step 4: Simplify right side
    7,242.74x = 40,540,468.91
  5. Step 5: Solve for x
    x = 40,540,468.91/7,242.74
  6. Step 6: Final answer
    x = 5,597.39

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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.