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Finding the Fourth Proportional to 8,310.40, 12,459.84 and 3,114.88

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Solution

The fourth proportional to 8,310.40, 12,459.84 and 3,114.88 is: 4,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.40 : 12,459.84 = 3,114.88 : x
  2. Step 2: Convert to fraction form
    8,310.40/12,459.84 = 3,114.88/x
  3. Step 3: Cross multiply
    8,310.40x = 12,459.84 × 3,114.88
  4. Step 4: Simplify right side
    8,310.40x = 38,810,906.42
  5. Step 5: Solve for x
    x = 38,810,906.42/8,310.40
  6. Step 6: Final answer
    x = 4,670.16

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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.