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Finding the Fourth Proportional to 11,141.74, 15,375.88 and 6,106.18

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Solution

The fourth proportional to 11,141.74, 15,375.88 and 6,106.18 is: 8,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.74 : 15,375.88 = 6,106.18 : x
  2. Step 2: Convert to fraction form
    11,141.74/15,375.88 = 6,106.18/x
  3. Step 3: Cross multiply
    11,141.74x = 15,375.88 × 6,106.18
  4. Step 4: Simplify right side
    11,141.74x = 93,887,890.94
  5. Step 5: Solve for x
    x = 93,887,890.94/11,141.74
  6. Step 6: Final answer
    x = 8,426.68

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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.