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Finding the Fourth Proportional to 8,696.16, 13,043.52 and 2,853.12

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Solution

The fourth proportional to 8,696.16, 13,043.52 and 2,853.12 is: 4,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.16 : 13,043.52 = 2,853.12 : x
  2. Step 2: Convert to fraction form
    8,696.16/13,043.52 = 2,853.12/x
  3. Step 3: Cross multiply
    8,696.16x = 13,043.52 × 2,853.12
  4. Step 4: Simplify right side
    8,696.16x = 37,214,727.78
  5. Step 5: Solve for x
    x = 37,214,727.78/8,696.16
  6. Step 6: Final answer
    x = 4,279.44

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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.