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Finding the Fourth Proportional to 7,387.68, 11,081.40 and 2,123.16

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Solution

The fourth proportional to 7,387.68, 11,081.40 and 2,123.16 is: 3,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.68 : 11,081.40 = 2,123.16 : x
  2. Step 2: Convert to fraction form
    7,387.68/11,081.40 = 2,123.16/x
  3. Step 3: Cross multiply
    7,387.68x = 11,081.40 × 2,123.16
  4. Step 4: Simplify right side
    7,387.68x = 23,527,585.22
  5. Step 5: Solve for x
    x = 23,527,585.22/7,387.68
  6. Step 6: Final answer
    x = 3,184.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.