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Finding the Fourth Proportional to 11,701.70, 16,149.45 and 6,397.30

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Solution

The fourth proportional to 11,701.70, 16,149.45 and 6,397.30 is: 8,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.70 : 16,149.45 = 6,397.30 : x
  2. Step 2: Convert to fraction form
    11,701.70/16,149.45 = 6,397.30/x
  3. Step 3: Cross multiply
    11,701.70x = 16,149.45 × 6,397.30
  4. Step 4: Simplify right side
    11,701.70x = 103,312,876.49
  5. Step 5: Solve for x
    x = 103,312,876.49/11,701.70
  6. Step 6: Final answer
    x = 8,828.88

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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.