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Finding the Fourth Proportional to 10,591.71, 14,618.31 and 5,877.51

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Solution

The fourth proportional to 10,591.71, 14,618.31 and 5,877.51 is: 8,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.71 : 14,618.31 = 5,877.51 : x
  2. Step 2: Convert to fraction form
    10,591.71/14,618.31 = 5,877.51/x
  3. Step 3: Cross multiply
    10,591.71x = 14,618.31 × 5,877.51
  4. Step 4: Simplify right side
    10,591.71x = 85,919,263.21
  5. Step 5: Solve for x
    x = 85,919,263.21/10,591.71
  6. Step 6: Final answer
    x = 8,111.94

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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.