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Finding the Fourth Proportional to 7,706.46, 11,560.02 and 3,488.94

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Solution

The fourth proportional to 7,706.46, 11,560.02 and 3,488.94 is: 5,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.46 : 11,560.02 = 3,488.94 : x
  2. Step 2: Convert to fraction form
    7,706.46/11,560.02 = 3,488.94/x
  3. Step 3: Cross multiply
    7,706.46x = 11,560.02 × 3,488.94
  4. Step 4: Simplify right side
    7,706.46x = 40,332,216.18
  5. Step 5: Solve for x
    x = 40,332,216.18/7,706.46
  6. Step 6: Final answer
    x = 5,233.56

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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.