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Finding the Fourth Proportional to 27,129.87, 40,689.32 and 7,406.78

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Solution

The fourth proportional to 27,129.87, 40,689.32 and 7,406.78 is: 11,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.87 : 40,689.32 = 7,406.78 : x
  2. Step 2: Convert to fraction form
    27,129.87/40,689.32 = 7,406.78/x
  3. Step 3: Cross multiply
    27,129.87x = 40,689.32 × 7,406.78
  4. Step 4: Simplify right side
    27,129.87x = 301,376,601.11
  5. Step 5: Solve for x
    x = 301,376,601.11/27,129.87
  6. Step 6: Final answer
    x = 11,108.66

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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.