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Finding the Fourth Proportional to 10,221.68, 15,332.56 and 6,758.16

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Solution

The fourth proportional to 10,221.68, 15,332.56 and 6,758.16 is: 10,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.68 : 15,332.56 = 6,758.16 : x
  2. Step 2: Convert to fraction form
    10,221.68/15,332.56 = 6,758.16/x
  3. Step 3: Cross multiply
    10,221.68x = 15,332.56 × 6,758.16
  4. Step 4: Simplify right side
    10,221.68x = 103,619,893.69
  5. Step 5: Solve for x
    x = 103,619,893.69/10,221.68
  6. Step 6: Final answer
    x = 10,137.27

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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.