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Finding the Fourth Proportional to 8,314.97, 12,462 and 4,156.13

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Solution

The fourth proportional to 8,314.97, 12,462 and 4,156.13 is: 6,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.97 : 12,462 = 4,156.13 : x
  2. Step 2: Convert to fraction form
    8,314.97/12,462 = 4,156.13/x
  3. Step 3: Cross multiply
    8,314.97x = 12,462 × 4,156.13
  4. Step 4: Simplify right side
    8,314.97x = 51,793,629.75
  5. Step 5: Solve for x
    x = 51,793,629.75/8,314.97
  6. Step 6: Final answer
    x = 6,228.97

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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.