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Finding the Fourth Proportional to 10,489.86, 14,480.52 and 7,500.48

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Solution

The fourth proportional to 10,489.86, 14,480.52 and 7,500.48 is: 10,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.86 : 14,480.52 = 7,500.48 : x
  2. Step 2: Convert to fraction form
    10,489.86/14,480.52 = 7,500.48/x
  3. Step 3: Cross multiply
    10,489.86x = 14,480.52 × 7,500.48
  4. Step 4: Simplify right side
    10,489.86x = 108,610,850.65
  5. Step 5: Solve for x
    x = 108,610,850.65/10,489.86
  6. Step 6: Final answer
    x = 10,353.89

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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.