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Finding the Fourth Proportional to 8,696.30, 13,046.30 and 3,502.16

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Solution

The fourth proportional to 8,696.30, 13,046.30 and 3,502.16 is: 5,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.30 : 13,046.30 = 3,502.16 : x
  2. Step 2: Convert to fraction form
    8,696.30/13,046.30 = 3,502.16/x
  3. Step 3: Cross multiply
    8,696.30x = 13,046.30 × 3,502.16
  4. Step 4: Simplify right side
    8,696.30x = 45,690,230.01
  5. Step 5: Solve for x
    x = 45,690,230.01/8,696.30
  6. Step 6: Final answer
    x = 5,253.99

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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.