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Finding the Fourth Proportional to 10,102.07, 15,155.50 and 5,092.13

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Solution

The fourth proportional to 10,102.07, 15,155.50 and 5,092.13 is: 7,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.07 : 15,155.50 = 5,092.13 : x
  2. Step 2: Convert to fraction form
    10,102.07/15,155.50 = 5,092.13/x
  3. Step 3: Cross multiply
    10,102.07x = 15,155.50 × 5,092.13
  4. Step 4: Simplify right side
    10,102.07x = 77,173,776.22
  5. Step 5: Solve for x
    x = 77,173,776.22/10,102.07
  6. Step 6: Final answer
    x = 7,639.40

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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.