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Finding the Fourth Proportional to 10,491.83, 14,479.05 and 5,712.09

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Solution

The fourth proportional to 10,491.83, 14,479.05 and 5,712.09 is: 7,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.83 : 14,479.05 = 5,712.09 : x
  2. Step 2: Convert to fraction form
    10,491.83/14,479.05 = 5,712.09/x
  3. Step 3: Cross multiply
    10,491.83x = 14,479.05 × 5,712.09
  4. Step 4: Simplify right side
    10,491.83x = 82,705,615.29
  5. Step 5: Solve for x
    x = 82,705,615.29/10,491.83
  6. Step 6: Final answer
    x = 7,882.86

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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.