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Finding the Fourth Proportional to 10,487.52, 14,472.96 and 6,012

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Solution

The fourth proportional to 10,487.52, 14,472.96 and 6,012 is: 8,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.52 : 14,472.96 = 6,012 : x
  2. Step 2: Convert to fraction form
    10,487.52/14,472.96 = 6,012/x
  3. Step 3: Cross multiply
    10,487.52x = 14,472.96 × 6,012
  4. Step 4: Simplify right side
    10,487.52x = 87,011,435.52
  5. Step 5: Solve for x
    x = 87,011,435.52/10,487.52
  6. Step 6: Final answer
    x = 8,296.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.