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Finding the Fourth Proportional to 7,454.76, 10,288.80 and 5,683.02

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Solution

The fourth proportional to 7,454.76, 10,288.80 and 5,683.02 is: 7,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.76 : 10,288.80 = 5,683.02 : x
  2. Step 2: Convert to fraction form
    7,454.76/10,288.80 = 5,683.02/x
  3. Step 3: Cross multiply
    7,454.76x = 10,288.80 × 5,683.02
  4. Step 4: Simplify right side
    7,454.76x = 58,471,456.18
  5. Step 5: Solve for x
    x = 58,471,456.18/7,454.76
  6. Step 6: Final answer
    x = 7,843.51

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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.