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Finding the Fourth Proportional to 10,156.64, 14,016.39 and 7,177.73

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Solution

The fourth proportional to 10,156.64, 14,016.39 and 7,177.73 is: 9,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.64 : 14,016.39 = 7,177.73 : x
  2. Step 2: Convert to fraction form
    10,156.64/14,016.39 = 7,177.73/x
  3. Step 3: Cross multiply
    10,156.64x = 14,016.39 × 7,177.73
  4. Step 4: Simplify right side
    10,156.64x = 100,605,862.99
  5. Step 5: Solve for x
    x = 100,605,862.99/10,156.64
  6. Step 6: Final answer
    x = 9,905.43

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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.