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Finding the Fourth Proportional to 7,785.64, 11,678.16 and 2,238.96

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Solution

The fourth proportional to 7,785.64, 11,678.16 and 2,238.96 is: 3,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.64 : 11,678.16 = 2,238.96 : x
  2. Step 2: Convert to fraction form
    7,785.64/11,678.16 = 2,238.96/x
  3. Step 3: Cross multiply
    7,785.64x = 11,678.16 × 2,238.96
  4. Step 4: Simplify right side
    7,785.64x = 26,146,933.11
  5. Step 5: Solve for x
    x = 26,146,933.11/7,785.64
  6. Step 6: Final answer
    x = 3,358.35

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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.