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Finding the Fourth Proportional to 10,400.59, 14,335.34 and 7,881.90

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Solution

The fourth proportional to 10,400.59, 14,335.34 and 7,881.90 is: 10,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.59 : 14,335.34 = 7,881.90 : x
  2. Step 2: Convert to fraction form
    10,400.59/14,335.34 = 7,881.90/x
  3. Step 3: Cross multiply
    10,400.59x = 14,335.34 × 7,881.90
  4. Step 4: Simplify right side
    10,400.59x = 112,989,718.92
  5. Step 5: Solve for x
    x = 112,989,718.92/10,400.59
  6. Step 6: Final answer
    x = 10,863.78

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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.