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Finding the Fourth Proportional to 10,863.60, 16,258.48 and 6,706.24

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Solution

The fourth proportional to 10,863.60, 16,258.48 and 6,706.24 is: 10,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.60 : 16,258.48 = 6,706.24 : x
  2. Step 2: Convert to fraction form
    10,863.60/16,258.48 = 6,706.24/x
  3. Step 3: Cross multiply
    10,863.60x = 16,258.48 × 6,706.24
  4. Step 4: Simplify right side
    10,863.60x = 109,033,268.92
  5. Step 5: Solve for x
    x = 109,033,268.92/10,863.60
  6. Step 6: Final answer
    x = 10,036.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.