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Finding the Fourth Proportional to 8,587.49, 11,854.38 and 5,605.88

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Solution

The fourth proportional to 8,587.49, 11,854.38 and 5,605.88 is: 7,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.49 : 11,854.38 = 5,605.88 : x
  2. Step 2: Convert to fraction form
    8,587.49/11,854.38 = 5,605.88/x
  3. Step 3: Cross multiply
    8,587.49x = 11,854.38 × 5,605.88
  4. Step 4: Simplify right side
    8,587.49x = 66,454,231.75
  5. Step 5: Solve for x
    x = 66,454,231.75/8,587.49
  6. Step 6: Final answer
    x = 7,738.49

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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.