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Finding the Fourth Proportional to 11,374.70, 15,696.68 and 6,338.66

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Solution

The fourth proportional to 11,374.70, 15,696.68 and 6,338.66 is: 8,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.70 : 15,696.68 = 6,338.66 : x
  2. Step 2: Convert to fraction form
    11,374.70/15,696.68 = 6,338.66/x
  3. Step 3: Cross multiply
    11,374.70x = 15,696.68 × 6,338.66
  4. Step 4: Simplify right side
    11,374.70x = 99,495,917.65
  5. Step 5: Solve for x
    x = 99,495,917.65/11,374.70
  6. Step 6: Final answer
    x = 8,747.12

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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.