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Finding the Fourth Proportional to 8,337.97, 11,506.70 and 4,560.91

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Solution

The fourth proportional to 8,337.97, 11,506.70 and 4,560.91 is: 6,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.97 : 11,506.70 = 4,560.91 : x
  2. Step 2: Convert to fraction form
    8,337.97/11,506.70 = 4,560.91/x
  3. Step 3: Cross multiply
    8,337.97x = 11,506.70 × 4,560.91
  4. Step 4: Simplify right side
    8,337.97x = 52,481,023.23
  5. Step 5: Solve for x
    x = 52,481,023.23/8,337.97
  6. Step 6: Final answer
    x = 6,294.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.