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Finding the Fourth Proportional to 8,812.50, 13,223.10 and 3,881.52

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Solution

The fourth proportional to 8,812.50, 13,223.10 and 3,881.52 is: 5,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.50 : 13,223.10 = 3,881.52 : x
  2. Step 2: Convert to fraction form
    8,812.50/13,223.10 = 3,881.52/x
  3. Step 3: Cross multiply
    8,812.50x = 13,223.10 × 3,881.52
  4. Step 4: Simplify right side
    8,812.50x = 51,325,727.11
  5. Step 5: Solve for x
    x = 51,325,727.11/8,812.50
  6. Step 6: Final answer
    x = 5,824.20

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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.