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Finding the Fourth Proportional to 7,785.60, 11,665.92 and 4,087.68

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Solution

The fourth proportional to 7,785.60, 11,665.92 and 4,087.68 is: 6,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.60 : 11,665.92 = 4,087.68 : x
  2. Step 2: Convert to fraction form
    7,785.60/11,665.92 = 4,087.68/x
  3. Step 3: Cross multiply
    7,785.60x = 11,665.92 × 4,087.68
  4. Step 4: Simplify right side
    7,785.60x = 47,686,547.87
  5. Step 5: Solve for x
    x = 47,686,547.87/7,785.60
  6. Step 6: Final answer
    x = 6,124.97

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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.