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Finding the Fourth Proportional to 8,432.90, 12,657.45 and 4,277.60

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Solution

The fourth proportional to 8,432.90, 12,657.45 and 4,277.60 is: 6,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.90 : 12,657.45 = 4,277.60 : x
  2. Step 2: Convert to fraction form
    8,432.90/12,657.45 = 4,277.60/x
  3. Step 3: Cross multiply
    8,432.90x = 12,657.45 × 4,277.60
  4. Step 4: Simplify right side
    8,432.90x = 54,143,508.12
  5. Step 5: Solve for x
    x = 54,143,508.12/8,432.90
  6. Step 6: Final answer
    x = 6,420.51

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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.