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Finding the Fourth Proportional to 8,882.02, 13,323.03 and 7,147

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Solution

The fourth proportional to 8,882.02, 13,323.03 and 7,147 is: 10,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.02 : 13,323.03 = 7,147 : x
  2. Step 2: Convert to fraction form
    8,882.02/13,323.03 = 7,147/x
  3. Step 3: Cross multiply
    8,882.02x = 13,323.03 × 7,147
  4. Step 4: Simplify right side
    8,882.02x = 95,219,695.41
  5. Step 5: Solve for x
    x = 95,219,695.41/8,882.02
  6. Step 6: Final answer
    x = 10,720.50

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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.