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Finding the Fourth Proportional to 7,301.76, 10,952.64 and 6,204.48

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Solution

The fourth proportional to 7,301.76, 10,952.64 and 6,204.48 is: 9,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.76 : 10,952.64 = 6,204.48 : x
  2. Step 2: Convert to fraction form
    7,301.76/10,952.64 = 6,204.48/x
  3. Step 3: Cross multiply
    7,301.76x = 10,952.64 × 6,204.48
  4. Step 4: Simplify right side
    7,301.76x = 67,955,435.83
  5. Step 5: Solve for x
    x = 67,955,435.83/7,301.76
  6. Step 6: Final answer
    x = 9,306.72

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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.