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Finding the Fourth Proportional to 10,270.76, 14,177.28 and 6,079

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Solution

The fourth proportional to 10,270.76, 14,177.28 and 6,079 is: 8,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.76 : 14,177.28 = 6,079 : x
  2. Step 2: Convert to fraction form
    10,270.76/14,177.28 = 6,079/x
  3. Step 3: Cross multiply
    10,270.76x = 14,177.28 × 6,079
  4. Step 4: Simplify right side
    10,270.76x = 86,183,685.12
  5. Step 5: Solve for x
    x = 86,183,685.12/10,270.76
  6. Step 6: Final answer
    x = 8,391.17

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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.