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Finding the Fourth Proportional to 10,663.73, 14,711.19 and 6,184.89

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Solution

The fourth proportional to 10,663.73, 14,711.19 and 6,184.89 is: 8,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.73 : 14,711.19 = 6,184.89 : x
  2. Step 2: Convert to fraction form
    10,663.73/14,711.19 = 6,184.89/x
  3. Step 3: Cross multiply
    10,663.73x = 14,711.19 × 6,184.89
  4. Step 4: Simplify right side
    10,663.73x = 90,987,091.92
  5. Step 5: Solve for x
    x = 90,987,091.92/10,663.73
  6. Step 6: Final answer
    x = 8,532.39

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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.