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Finding the Fourth Proportional to 10,092.57, 15,141.29 and 3,167.07

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Solution

The fourth proportional to 10,092.57, 15,141.29 and 3,167.07 is: 4,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.57 : 15,141.29 = 3,167.07 : x
  2. Step 2: Convert to fraction form
    10,092.57/15,141.29 = 3,167.07/x
  3. Step 3: Cross multiply
    10,092.57x = 15,141.29 × 3,167.07
  4. Step 4: Simplify right side
    10,092.57x = 47,953,509.48
  5. Step 5: Solve for x
    x = 47,953,509.48/10,092.57
  6. Step 6: Final answer
    x = 4,751.37

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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.