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Finding the Fourth Proportional to 7,706.76, 11,557.71 and 2,159.69

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Solution

The fourth proportional to 7,706.76, 11,557.71 and 2,159.69 is: 3,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.76 : 11,557.71 = 2,159.69 : x
  2. Step 2: Convert to fraction form
    7,706.76/11,557.71 = 2,159.69/x
  3. Step 3: Cross multiply
    7,706.76x = 11,557.71 × 2,159.69
  4. Step 4: Simplify right side
    7,706.76x = 24,961,012.92
  5. Step 5: Solve for x
    x = 24,961,012.92/7,706.76
  6. Step 6: Final answer
    x = 3,238.85

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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.