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Finding the Fourth Proportional to 7,449.60, 10,291.20 and 7,219.20

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Solution

The fourth proportional to 7,449.60, 10,291.20 and 7,219.20 is: 9,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.60 : 10,291.20 = 7,219.20 : x
  2. Step 2: Convert to fraction form
    7,449.60/10,291.20 = 7,219.20/x
  3. Step 3: Cross multiply
    7,449.60x = 10,291.20 × 7,219.20
  4. Step 4: Simplify right side
    7,449.60x = 74,294,231.04
  5. Step 5: Solve for x
    x = 74,294,231.04/7,449.60
  6. Step 6: Final answer
    x = 9,972.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.