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Finding the Fourth Proportional to 8,312.60, 12,468.90 and 8,166.80

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Solution

The fourth proportional to 8,312.60, 12,468.90 and 8,166.80 is: 12,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.60 : 12,468.90 = 8,166.80 : x
  2. Step 2: Convert to fraction form
    8,312.60/12,468.90 = 8,166.80/x
  3. Step 3: Cross multiply
    8,312.60x = 12,468.90 × 8,166.80
  4. Step 4: Simplify right side
    8,312.60x = 101,831,012.52
  5. Step 5: Solve for x
    x = 101,831,012.52/8,312.60
  6. Step 6: Final answer
    x = 12,250.20

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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.