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Finding the Fourth Proportional to 8,312.16, 12,468.34 and 2,469.04

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Solution

The fourth proportional to 8,312.16, 12,468.34 and 2,469.04 is: 3,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.16 : 12,468.34 = 2,469.04 : x
  2. Step 2: Convert to fraction form
    8,312.16/12,468.34 = 2,469.04/x
  3. Step 3: Cross multiply
    8,312.16x = 12,468.34 × 2,469.04
  4. Step 4: Simplify right side
    8,312.16x = 30,784,830.19
  5. Step 5: Solve for x
    x = 30,784,830.19/8,312.16
  6. Step 6: Final answer
    x = 3,703.59

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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.