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Finding the Fourth Proportional to 8,314.60, 11,470.52 and 5,478.33

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Solution

The fourth proportional to 8,314.60, 11,470.52 and 5,478.33 is: 7,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.60 : 11,470.52 = 5,478.33 : x
  2. Step 2: Convert to fraction form
    8,314.60/11,470.52 = 5,478.33/x
  3. Step 3: Cross multiply
    8,314.60x = 11,470.52 × 5,478.33
  4. Step 4: Simplify right side
    8,314.60x = 62,839,293.83
  5. Step 5: Solve for x
    x = 62,839,293.83/8,314.60
  6. Step 6: Final answer
    x = 7,557.70

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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.