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Finding the Fourth Proportional to 10,486.91, 14,472.54 and 6,011.41

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Solution

The fourth proportional to 10,486.91, 14,472.54 and 6,011.41 is: 8,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.91 : 14,472.54 = 6,011.41 : x
  2. Step 2: Convert to fraction form
    10,486.91/14,472.54 = 6,011.41/x
  3. Step 3: Cross multiply
    10,486.91x = 14,472.54 × 6,011.41
  4. Step 4: Simplify right side
    10,486.91x = 87,000,371.68
  5. Step 5: Solve for x
    x = 87,000,371.68/10,486.91
  6. Step 6: Final answer
    x = 8,296.09

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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.