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Finding the Fourth Proportional to 7,224.80, 10,826.40 and 6,123.20

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Solution

The fourth proportional to 7,224.80, 10,826.40 and 6,123.20 is: 9,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.80 : 10,826.40 = 6,123.20 : x
  2. Step 2: Convert to fraction form
    7,224.80/10,826.40 = 6,123.20/x
  3. Step 3: Cross multiply
    7,224.80x = 10,826.40 × 6,123.20
  4. Step 4: Simplify right side
    7,224.80x = 66,292,212.48
  5. Step 5: Solve for x
    x = 66,292,212.48/7,224.80
  6. Step 6: Final answer
    x = 9,175.65

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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.