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Finding the Fourth Proportional to 7,464.40, 11,220.90 and 5,288.20

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Solution

The fourth proportional to 7,464.40, 11,220.90 and 5,288.20 is: 7,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.40 : 11,220.90 = 5,288.20 : x
  2. Step 2: Convert to fraction form
    7,464.40/11,220.90 = 5,288.20/x
  3. Step 3: Cross multiply
    7,464.40x = 11,220.90 × 5,288.20
  4. Step 4: Simplify right side
    7,464.40x = 59,338,363.38
  5. Step 5: Solve for x
    x = 59,338,363.38/7,464.40
  6. Step 6: Final answer
    x = 7,949.52

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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.