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Finding the Fourth Proportional to 8,468.40, 12,701.16 and 2,310.96

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Solution

The fourth proportional to 8,468.40, 12,701.16 and 2,310.96 is: 3,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.40 : 12,701.16 = 2,310.96 : x
  2. Step 2: Convert to fraction form
    8,468.40/12,701.16 = 2,310.96/x
  3. Step 3: Cross multiply
    8,468.40x = 12,701.16 × 2,310.96
  4. Step 4: Simplify right side
    8,468.40x = 29,351,872.71
  5. Step 5: Solve for x
    x = 29,351,872.71/8,468.40
  6. Step 6: Final answer
    x = 3,466.05

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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.