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Finding the Fourth Proportional to 8,807.50, 13,201.92 and 5,475.76

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Solution

The fourth proportional to 8,807.50, 13,201.92 and 5,475.76 is: 8,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807.50 : 13,201.92 = 5,475.76 : x
  2. Step 2: Convert to fraction form
    8,807.50/13,201.92 = 5,475.76/x
  3. Step 3: Cross multiply
    8,807.50x = 13,201.92 × 5,475.76
  4. Step 4: Simplify right side
    8,807.50x = 72,290,545.46
  5. Step 5: Solve for x
    x = 72,290,545.46/8,807.50
  6. Step 6: Final answer
    x = 8,207.84

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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.