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Finding the Fourth Proportional to 8,511.39, 11,737.48 and 5,678.88

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Solution

The fourth proportional to 8,511.39, 11,737.48 and 5,678.88 is: 7,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.39 : 11,737.48 = 5,678.88 : x
  2. Step 2: Convert to fraction form
    8,511.39/11,737.48 = 5,678.88/x
  3. Step 3: Cross multiply
    8,511.39x = 11,737.48 × 5,678.88
  4. Step 4: Simplify right side
    8,511.39x = 66,655,740.42
  5. Step 5: Solve for x
    x = 66,655,740.42/8,511.39
  6. Step 6: Final answer
    x = 7,831.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.