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Finding the Fourth Proportional to 10,732.47, 14,817.38 and 8,503.35

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Solution

The fourth proportional to 10,732.47, 14,817.38 and 8,503.35 is: 11,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.47 : 14,817.38 = 8,503.35 : x
  2. Step 2: Convert to fraction form
    10,732.47/14,817.38 = 8,503.35/x
  3. Step 3: Cross multiply
    10,732.47x = 14,817.38 × 8,503.35
  4. Step 4: Simplify right side
    10,732.47x = 125,997,325.71
  5. Step 5: Solve for x
    x = 125,997,325.71/10,732.47
  6. Step 6: Final answer
    x = 11,739.83

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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.