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Finding the Fourth Proportional to 10,974.66, 15,143.67 and 6,258.03

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Solution

The fourth proportional to 10,974.66, 15,143.67 and 6,258.03 is: 8,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.66 : 15,143.67 = 6,258.03 : x
  2. Step 2: Convert to fraction form
    10,974.66/15,143.67 = 6,258.03/x
  3. Step 3: Cross multiply
    10,974.66x = 15,143.67 × 6,258.03
  4. Step 4: Simplify right side
    10,974.66x = 94,769,541.17
  5. Step 5: Solve for x
    x = 94,769,541.17/10,974.66
  6. Step 6: Final answer
    x = 8,635.31

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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.