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Finding the Fourth Proportional to 7,283.87, 10,876.40 and 5,786.28

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Solution

The fourth proportional to 7,283.87, 10,876.40 and 5,786.28 is: 8,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.87 : 10,876.40 = 5,786.28 : x
  2. Step 2: Convert to fraction form
    7,283.87/10,876.40 = 5,786.28/x
  3. Step 3: Cross multiply
    7,283.87x = 10,876.40 × 5,786.28
  4. Step 4: Simplify right side
    7,283.87x = 62,933,866.86
  5. Step 5: Solve for x
    x = 62,933,866.86/7,283.87
  6. Step 6: Final answer
    x = 8,640.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.