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Finding the Fourth Proportional to 7,202.52, 10,807.02 and 3,508.11

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Solution

The fourth proportional to 7,202.52, 10,807.02 and 3,508.11 is: 5,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.52 : 10,807.02 = 3,508.11 : x
  2. Step 2: Convert to fraction form
    7,202.52/10,807.02 = 3,508.11/x
  3. Step 3: Cross multiply
    7,202.52x = 10,807.02 × 3,508.11
  4. Step 4: Simplify right side
    7,202.52x = 37,912,214.93
  5. Step 5: Solve for x
    x = 37,912,214.93/7,202.52
  6. Step 6: Final answer
    x = 5,263.74

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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.