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Finding the Fourth Proportional to 8,696.25, 13,045.05 and 3,502.17

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Solution

The fourth proportional to 8,696.25, 13,045.05 and 3,502.17 is: 5,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.25 : 13,045.05 = 3,502.17 : x
  2. Step 2: Convert to fraction form
    8,696.25/13,045.05 = 3,502.17/x
  3. Step 3: Cross multiply
    8,696.25x = 13,045.05 × 3,502.17
  4. Step 4: Simplify right side
    8,696.25x = 45,685,982.76
  5. Step 5: Solve for x
    x = 45,685,982.76/8,696.25
  6. Step 6: Final answer
    x = 5,253.53

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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.