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Finding the Fourth Proportional to 11,581.06, 15,974.66 and 6,862

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Solution

The fourth proportional to 11,581.06, 15,974.66 and 6,862 is: 9,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.06 : 15,974.66 = 6,862 : x
  2. Step 2: Convert to fraction form
    11,581.06/15,974.66 = 6,862/x
  3. Step 3: Cross multiply
    11,581.06x = 15,974.66 × 6,862
  4. Step 4: Simplify right side
    11,581.06x = 109,618,116.92
  5. Step 5: Solve for x
    x = 109,618,116.92/11,581.06
  6. Step 6: Final answer
    x = 9,465.29

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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.