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Finding the Fourth Proportional to 8,420.76, 12,627.90 and 4,252.50

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Solution

The fourth proportional to 8,420.76, 12,627.90 and 4,252.50 is: 6,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.76 : 12,627.90 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    8,420.76/12,627.90 = 4,252.50/x
  3. Step 3: Cross multiply
    8,420.76x = 12,627.90 × 4,252.50
  4. Step 4: Simplify right side
    8,420.76x = 53,700,144.75
  5. Step 5: Solve for x
    x = 53,700,144.75/8,420.76
  6. Step 6: Final answer
    x = 6,377.11

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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.