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Finding the Fourth Proportional to 11,512.80, 15,890.48 and 7,543.52

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Solution

The fourth proportional to 11,512.80, 15,890.48 and 7,543.52 is: 10,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.80 : 15,890.48 = 7,543.52 : x
  2. Step 2: Convert to fraction form
    11,512.80/15,890.48 = 7,543.52/x
  3. Step 3: Cross multiply
    11,512.80x = 15,890.48 × 7,543.52
  4. Step 4: Simplify right side
    11,512.80x = 119,870,153.69
  5. Step 5: Solve for x
    x = 119,870,153.69/11,512.80
  6. Step 6: Final answer
    x = 10,411.90

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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.