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Finding the Fourth Proportional to 10,209.60, 15,314.40 and 4,366.80

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Solution

The fourth proportional to 10,209.60, 15,314.40 and 4,366.80 is: 6,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.60 : 15,314.40 = 4,366.80 : x
  2. Step 2: Convert to fraction form
    10,209.60/15,314.40 = 4,366.80/x
  3. Step 3: Cross multiply
    10,209.60x = 15,314.40 × 4,366.80
  4. Step 4: Simplify right side
    10,209.60x = 66,874,921.92
  5. Step 5: Solve for x
    x = 66,874,921.92/10,209.60
  6. Step 6: Final answer
    x = 6,550.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.