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Finding the Fourth Proportional to 10,967.25, 16,452.59 and 3,569.96

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Solution

The fourth proportional to 10,967.25, 16,452.59 and 3,569.96 is: 5,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.25 : 16,452.59 = 3,569.96 : x
  2. Step 2: Convert to fraction form
    10,967.25/16,452.59 = 3,569.96/x
  3. Step 3: Cross multiply
    10,967.25x = 16,452.59 × 3,569.96
  4. Step 4: Simplify right side
    10,967.25x = 58,735,111.48
  5. Step 5: Solve for x
    x = 58,735,111.48/10,967.25
  6. Step 6: Final answer
    x = 5,355.50

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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.