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Finding the Fourth Proportional to 7,335.20, 11,007.48 and 6,849.20

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Solution

The fourth proportional to 7,335.20, 11,007.48 and 6,849.20 is: 10,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.20 : 11,007.48 = 6,849.20 : x
  2. Step 2: Convert to fraction form
    7,335.20/11,007.48 = 6,849.20/x
  3. Step 3: Cross multiply
    7,335.20x = 11,007.48 × 6,849.20
  4. Step 4: Simplify right side
    7,335.20x = 75,392,432.02
  5. Step 5: Solve for x
    x = 75,392,432.02/7,335.20
  6. Step 6: Final answer
    x = 10,278.17

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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.