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Finding the Fourth Proportional to 7,454.80, 10,288.02 and 4,470.76

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Solution

The fourth proportional to 7,454.80, 10,288.02 and 4,470.76 is: 6,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.80 : 10,288.02 = 4,470.76 : x
  2. Step 2: Convert to fraction form
    7,454.80/10,288.02 = 4,470.76/x
  3. Step 3: Cross multiply
    7,454.80x = 10,288.02 × 4,470.76
  4. Step 4: Simplify right side
    7,454.80x = 45,995,268.30
  5. Step 5: Solve for x
    x = 45,995,268.30/7,454.80
  6. Step 6: Final answer
    x = 6,169.89

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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.