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Finding the Fourth Proportional to 7,704.76, 11,557.32 and 2,510.68

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Solution

The fourth proportional to 7,704.76, 11,557.32 and 2,510.68 is: 3,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.76 : 11,557.32 = 2,510.68 : x
  2. Step 2: Convert to fraction form
    7,704.76/11,557.32 = 2,510.68/x
  3. Step 3: Cross multiply
    7,704.76x = 11,557.32 × 2,510.68
  4. Step 4: Simplify right side
    7,704.76x = 29,016,732.18
  5. Step 5: Solve for x
    x = 29,016,732.18/7,704.76
  6. Step 6: Final answer
    x = 3,766.08

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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.