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Finding the Fourth Proportional to 12,371.11, 17,071.92 and 6,705.70

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Solution

The fourth proportional to 12,371.11, 17,071.92 and 6,705.70 is: 9,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.11 : 17,071.92 = 6,705.70 : x
  2. Step 2: Convert to fraction form
    12,371.11/17,071.92 = 6,705.70/x
  3. Step 3: Cross multiply
    12,371.11x = 17,071.92 × 6,705.70
  4. Step 4: Simplify right side
    12,371.11x = 114,479,173.94
  5. Step 5: Solve for x
    x = 114,479,173.94/12,371.11
  6. Step 6: Final answer
    x = 9,253.75

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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.