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Finding the Fourth Proportional to 10,581.66, 14,602.59 and 5,801.87

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Solution

The fourth proportional to 10,581.66, 14,602.59 and 5,801.87 is: 8,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.66 : 14,602.59 = 5,801.87 : x
  2. Step 2: Convert to fraction form
    10,581.66/14,602.59 = 5,801.87/x
  3. Step 3: Cross multiply
    10,581.66x = 14,602.59 × 5,801.87
  4. Step 4: Simplify right side
    10,581.66x = 84,722,387.11
  5. Step 5: Solve for x
    x = 84,722,387.11/10,581.66
  6. Step 6: Final answer
    x = 8,006.53

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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.