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Finding the Fourth Proportional to 8,500.35, 12,752.55 and 4,114.20

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Solution

The fourth proportional to 8,500.35, 12,752.55 and 4,114.20 is: 6,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.35 : 12,752.55 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    8,500.35/12,752.55 = 4,114.20/x
  3. Step 3: Cross multiply
    8,500.35x = 12,752.55 × 4,114.20
  4. Step 4: Simplify right side
    8,500.35x = 52,466,541.21
  5. Step 5: Solve for x
    x = 52,466,541.21/8,500.35
  6. Step 6: Final answer
    x = 6,172.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.