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Finding the Fourth Proportional to 10,358.70, 15,538.05 and 5,911.80

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Solution

The fourth proportional to 10,358.70, 15,538.05 and 5,911.80 is: 8,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.70 : 15,538.05 = 5,911.80 : x
  2. Step 2: Convert to fraction form
    10,358.70/15,538.05 = 5,911.80/x
  3. Step 3: Cross multiply
    10,358.70x = 15,538.05 × 5,911.80
  4. Step 4: Simplify right side
    10,358.70x = 91,857,843.99
  5. Step 5: Solve for x
    x = 91,857,843.99/10,358.70
  6. Step 6: Final answer
    x = 8,867.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.