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Finding the Fourth Proportional to 10,491.31, 15,808.71 and 8,682.31

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Solution

The fourth proportional to 10,491.31, 15,808.71 and 8,682.31 is: 13,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.31 : 15,808.71 = 8,682.31 : x
  2. Step 2: Convert to fraction form
    10,491.31/15,808.71 = 8,682.31/x
  3. Step 3: Cross multiply
    10,491.31x = 15,808.71 × 8,682.31
  4. Step 4: Simplify right side
    10,491.31x = 137,256,120.92
  5. Step 5: Solve for x
    x = 137,256,120.92/10,491.31
  6. Step 6: Final answer
    x = 13,082.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.