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Finding the Fourth Proportional to 10,022.16, 15,038.74 and 5,092.22

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Solution

The fourth proportional to 10,022.16, 15,038.74 and 5,092.22 is: 7,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.16 : 15,038.74 = 5,092.22 : x
  2. Step 2: Convert to fraction form
    10,022.16/15,038.74 = 5,092.22/x
  3. Step 3: Cross multiply
    10,022.16x = 15,038.74 × 5,092.22
  4. Step 4: Simplify right side
    10,022.16x = 76,580,517.65
  5. Step 5: Solve for x
    x = 76,580,517.65/10,022.16
  6. Step 6: Final answer
    x = 7,641.12

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