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Finding the Fourth Proportional to 10,625.69, 15,938.53 and 5,062.17

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Solution

The fourth proportional to 10,625.69, 15,938.53 and 5,062.17 is: 7,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.69 : 15,938.53 = 5,062.17 : x
  2. Step 2: Convert to fraction form
    10,625.69/15,938.53 = 5,062.17/x
  3. Step 3: Cross multiply
    10,625.69x = 15,938.53 × 5,062.17
  4. Step 4: Simplify right side
    10,625.69x = 80,683,548.41
  5. Step 5: Solve for x
    x = 80,683,548.41/10,625.69
  6. Step 6: Final answer
    x = 7,593.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.