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Finding the Fourth Proportional to 7,244.80, 10,867.20 and 6,822.40

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Solution

The fourth proportional to 7,244.80, 10,867.20 and 6,822.40 is: 10,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.80 : 10,867.20 = 6,822.40 : x
  2. Step 2: Convert to fraction form
    7,244.80/10,867.20 = 6,822.40/x
  3. Step 3: Cross multiply
    7,244.80x = 10,867.20 × 6,822.40
  4. Step 4: Simplify right side
    7,244.80x = 74,140,385.28
  5. Step 5: Solve for x
    x = 74,140,385.28/7,244.80
  6. Step 6: Final answer
    x = 10,233.60

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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.