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Finding the Fourth Proportional to 7,013.06, 9,679.27 and 4,180.61

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Solution

The fourth proportional to 7,013.06, 9,679.27 and 4,180.61 is: 5,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.06 : 9,679.27 = 4,180.61 : x
  2. Step 2: Convert to fraction form
    7,013.06/9,679.27 = 4,180.61/x
  3. Step 3: Cross multiply
    7,013.06x = 9,679.27 × 4,180.61
  4. Step 4: Simplify right side
    7,013.06x = 40,465,257.76
  5. Step 5: Solve for x
    x = 40,465,257.76/7,013.06
  6. Step 6: Final answer
    x = 5,769.99

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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.