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Finding the Fourth Proportional to 10,930.88, 15,091.44 and 6,740.48

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Solution

The fourth proportional to 10,930.88, 15,091.44 and 6,740.48 is: 9,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.88 : 15,091.44 = 6,740.48 : x
  2. Step 2: Convert to fraction form
    10,930.88/15,091.44 = 6,740.48/x
  3. Step 3: Cross multiply
    10,930.88x = 15,091.44 × 6,740.48
  4. Step 4: Simplify right side
    10,930.88x = 101,723,549.49
  5. Step 5: Solve for x
    x = 101,723,549.49/10,930.88
  6. Step 6: Final answer
    x = 9,306.07

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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.