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Finding the Fourth Proportional to 10,487.38, 14,472.63 and 6,011.39

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Solution

The fourth proportional to 10,487.38, 14,472.63 and 6,011.39 is: 8,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.38 : 14,472.63 = 6,011.39 : x
  2. Step 2: Convert to fraction form
    10,487.38/14,472.63 = 6,011.39/x
  3. Step 3: Cross multiply
    10,487.38x = 14,472.63 × 6,011.39
  4. Step 4: Simplify right side
    10,487.38x = 87,000,623.26
  5. Step 5: Solve for x
    x = 87,000,623.26/10,487.38
  6. Step 6: Final answer
    x = 8,295.74

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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.