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Finding the Fourth Proportional to 7,785.52, 11,677.88 and 2,238.81

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Solution

The fourth proportional to 7,785.52, 11,677.88 and 2,238.81 is: 3,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.52 : 11,677.88 = 2,238.81 : x
  2. Step 2: Convert to fraction form
    7,785.52/11,677.88 = 2,238.81/x
  3. Step 3: Cross multiply
    7,785.52x = 11,677.88 × 2,238.81
  4. Step 4: Simplify right side
    7,785.52x = 26,144,516.33
  5. Step 5: Solve for x
    x = 26,144,516.33/7,785.52
  6. Step 6: Final answer
    x = 3,358.10

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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.