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Finding the Fourth Proportional to 8,831.52, 13,251.24 and 5,543.64

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Solution

The fourth proportional to 8,831.52, 13,251.24 and 5,543.64 is: 8,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.52 : 13,251.24 = 5,543.64 : x
  2. Step 2: Convert to fraction form
    8,831.52/13,251.24 = 5,543.64/x
  3. Step 3: Cross multiply
    8,831.52x = 13,251.24 × 5,543.64
  4. Step 4: Simplify right side
    8,831.52x = 73,460,104.11
  5. Step 5: Solve for x
    x = 73,460,104.11/8,831.52
  6. Step 6: Final answer
    x = 8,317.95

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Why These Related Problems?

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