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Finding the Fourth Proportional to 8,861.12, 13,268.04 and 7,016

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Solution

The fourth proportional to 8,861.12, 13,268.04 and 7,016 is: 10,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.12 : 13,268.04 = 7,016 : x
  2. Step 2: Convert to fraction form
    8,861.12/13,268.04 = 7,016/x
  3. Step 3: Cross multiply
    8,861.12x = 13,268.04 × 7,016
  4. Step 4: Simplify right side
    8,861.12x = 93,088,568.64
  5. Step 5: Solve for x
    x = 93,088,568.64/8,861.12
  6. Step 6: Final answer
    x = 10,505.28

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Why These Related Problems?

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