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Finding the Fourth Proportional to 10,499.14, 14,489.03 and 5,962.11

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Solution

The fourth proportional to 10,499.14, 14,489.03 and 5,962.11 is: 8,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.14 : 14,489.03 = 5,962.11 : x
  2. Step 2: Convert to fraction form
    10,499.14/14,489.03 = 5,962.11/x
  3. Step 3: Cross multiply
    10,499.14x = 14,489.03 × 5,962.11
  4. Step 4: Simplify right side
    10,499.14x = 86,385,117.69
  5. Step 5: Solve for x
    x = 86,385,117.69/10,499.14
  6. Step 6: Final answer
    x = 8,227.83

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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.