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Finding the Fourth Proportional to 7,760.34, 11,646.15 and 5,817.78

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Solution

The fourth proportional to 7,760.34, 11,646.15 and 5,817.78 is: 8,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.34 : 11,646.15 = 5,817.78 : x
  2. Step 2: Convert to fraction form
    7,760.34/11,646.15 = 5,817.78/x
  3. Step 3: Cross multiply
    7,760.34x = 11,646.15 × 5,817.78
  4. Step 4: Simplify right side
    7,760.34x = 67,754,738.55
  5. Step 5: Solve for x
    x = 67,754,738.55/7,760.34
  6. Step 6: Final answer
    x = 8,730.90

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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.