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Finding the Fourth Proportional to 7,250.70, 10,869.68 and 2,569.98

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Solution

The fourth proportional to 7,250.70, 10,869.68 and 2,569.98 is: 3,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.70 : 10,869.68 = 2,569.98 : x
  2. Step 2: Convert to fraction form
    7,250.70/10,869.68 = 2,569.98/x
  3. Step 3: Cross multiply
    7,250.70x = 10,869.68 × 2,569.98
  4. Step 4: Simplify right side
    7,250.70x = 27,934,860.21
  5. Step 5: Solve for x
    x = 27,934,860.21/7,250.70
  6. Step 6: Final answer
    x = 3,852.71

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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.