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Finding the Fourth Proportional to 10,238.57, 14,131.16 and 6,411.99

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Solution

The fourth proportional to 10,238.57, 14,131.16 and 6,411.99 is: 8,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.57 : 14,131.16 = 6,411.99 : x
  2. Step 2: Convert to fraction form
    10,238.57/14,131.16 = 6,411.99/x
  3. Step 3: Cross multiply
    10,238.57x = 14,131.16 × 6,411.99
  4. Step 4: Simplify right side
    10,238.57x = 90,608,856.61
  5. Step 5: Solve for x
    x = 90,608,856.61/10,238.57
  6. Step 6: Final answer
    x = 8,849.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.