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Finding the Fourth Proportional to 7,640.87, 10,544.31 and 4,283.69

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Solution

The fourth proportional to 7,640.87, 10,544.31 and 4,283.69 is: 5,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.87 : 10,544.31 = 4,283.69 : x
  2. Step 2: Convert to fraction form
    7,640.87/10,544.31 = 4,283.69/x
  3. Step 3: Cross multiply
    7,640.87x = 10,544.31 × 4,283.69
  4. Step 4: Simplify right side
    7,640.87x = 45,168,502.58
  5. Step 5: Solve for x
    x = 45,168,502.58/7,640.87
  6. Step 6: Final answer
    x = 5,911.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.