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Finding the Fourth Proportional to 8,584.48, 12,876.66 and 5,641.48

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Solution

The fourth proportional to 8,584.48, 12,876.66 and 5,641.48 is: 8,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.48 : 12,876.66 = 5,641.48 : x
  2. Step 2: Convert to fraction form
    8,584.48/12,876.66 = 5,641.48/x
  3. Step 3: Cross multiply
    8,584.48x = 12,876.66 × 5,641.48
  4. Step 4: Simplify right side
    8,584.48x = 72,643,419.86
  5. Step 5: Solve for x
    x = 72,643,419.86/8,584.48
  6. Step 6: Final answer
    x = 8,462.18

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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.