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Finding the Fourth Proportional to 10,987.88, 16,483.88 and 4,414.57

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Solution

The fourth proportional to 10,987.88, 16,483.88 and 4,414.57 is: 6,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.88 : 16,483.88 = 4,414.57 : x
  2. Step 2: Convert to fraction form
    10,987.88/16,483.88 = 4,414.57/x
  3. Step 3: Cross multiply
    10,987.88x = 16,483.88 × 4,414.57
  4. Step 4: Simplify right side
    10,987.88x = 72,769,211.96
  5. Step 5: Solve for x
    x = 72,769,211.96/10,987.88
  6. Step 6: Final answer
    x = 6,622.68

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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.