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Finding the Fourth Proportional to 7,760.60, 11,635.04 and 3,867.76

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Solution

The fourth proportional to 7,760.60, 11,635.04 and 3,867.76 is: 5,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.60 : 11,635.04 = 3,867.76 : x
  2. Step 2: Convert to fraction form
    7,760.60/11,635.04 = 3,867.76/x
  3. Step 3: Cross multiply
    7,760.60x = 11,635.04 × 3,867.76
  4. Step 4: Simplify right side
    7,760.60x = 45,001,542.31
  5. Step 5: Solve for x
    x = 45,001,542.31/7,760.60
  6. Step 6: Final answer
    x = 5,798.72

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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.