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Finding the Fourth Proportional to 8,497.68, 11,725.24 and 5,140.02

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Solution

The fourth proportional to 8,497.68, 11,725.24 and 5,140.02 is: 7,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.68 : 11,725.24 = 5,140.02 : x
  2. Step 2: Convert to fraction form
    8,497.68/11,725.24 = 5,140.02/x
  3. Step 3: Cross multiply
    8,497.68x = 11,725.24 × 5,140.02
  4. Step 4: Simplify right side
    8,497.68x = 60,267,968.10
  5. Step 5: Solve for x
    x = 60,267,968.10/8,497.68
  6. Step 6: Final answer
    x = 7,092.28

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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.