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Finding the Fourth Proportional to 7,775.68, 11,657.04 and 3,874.72

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Solution

The fourth proportional to 7,775.68, 11,657.04 and 3,874.72 is: 5,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.68 : 11,657.04 = 3,874.72 : x
  2. Step 2: Convert to fraction form
    7,775.68/11,657.04 = 3,874.72/x
  3. Step 3: Cross multiply
    7,775.68x = 11,657.04 × 3,874.72
  4. Step 4: Simplify right side
    7,775.68x = 45,167,766.03
  5. Step 5: Solve for x
    x = 45,167,766.03/7,775.68
  6. Step 6: Final answer
    x = 5,808.85

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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.