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Finding the Fourth Proportional to 10,141.76, 15,212.64 and 6,247.52

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Solution

The fourth proportional to 10,141.76, 15,212.64 and 6,247.52 is: 9,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.76 : 15,212.64 = 6,247.52 : x
  2. Step 2: Convert to fraction form
    10,141.76/15,212.64 = 6,247.52/x
  3. Step 3: Cross multiply
    10,141.76x = 15,212.64 × 6,247.52
  4. Step 4: Simplify right side
    10,141.76x = 95,041,272.65
  5. Step 5: Solve for x
    x = 95,041,272.65/10,141.76
  6. Step 6: Final answer
    x = 9,371.28

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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.