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Finding the Fourth Proportional to 7,785.64, 11,678.04 and 2,520.55

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Solution

The fourth proportional to 7,785.64, 11,678.04 and 2,520.55 is: 3,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.64 : 11,678.04 = 2,520.55 : x
  2. Step 2: Convert to fraction form
    7,785.64/11,678.04 = 2,520.55/x
  3. Step 3: Cross multiply
    7,785.64x = 11,678.04 × 2,520.55
  4. Step 4: Simplify right side
    7,785.64x = 29,435,083.72
  5. Step 5: Solve for x
    x = 29,435,083.72/7,785.64
  6. Step 6: Final answer
    x = 3,780.69

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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.