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Finding the Fourth Proportional to 8,971.49, 13,452.71 and 5,224.48

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Solution

The fourth proportional to 8,971.49, 13,452.71 and 5,224.48 is: 7,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.49 : 13,452.71 = 5,224.48 : x
  2. Step 2: Convert to fraction form
    8,971.49/13,452.71 = 5,224.48/x
  3. Step 3: Cross multiply
    8,971.49x = 13,452.71 × 5,224.48
  4. Step 4: Simplify right side
    8,971.49x = 70,283,388.20
  5. Step 5: Solve for x
    x = 70,283,388.20/8,971.49
  6. Step 6: Final answer
    x = 7,834.08

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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.