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Finding the Fourth Proportional to 8,306.72, 11,478.48 and 7,901.76

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Solution

The fourth proportional to 8,306.72, 11,478.48 and 7,901.76 is: 10,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.72 : 11,478.48 = 7,901.76 : x
  2. Step 2: Convert to fraction form
    8,306.72/11,478.48 = 7,901.76/x
  3. Step 3: Cross multiply
    8,306.72x = 11,478.48 × 7,901.76
  4. Step 4: Simplify right side
    8,306.72x = 90,700,194.12
  5. Step 5: Solve for x
    x = 90,700,194.12/8,306.72
  6. Step 6: Final answer
    x = 10,918.89

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