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Finding the Fourth Proportional to 7,002.39, 10,507.23 and 5,512.50

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Solution

The fourth proportional to 7,002.39, 10,507.23 and 5,512.50 is: 8,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.39 : 10,507.23 = 5,512.50 : x
  2. Step 2: Convert to fraction form
    7,002.39/10,507.23 = 5,512.50/x
  3. Step 3: Cross multiply
    7,002.39x = 10,507.23 × 5,512.50
  4. Step 4: Simplify right side
    7,002.39x = 57,921,105.38
  5. Step 5: Solve for x
    x = 57,921,105.38/7,002.39
  6. Step 6: Final answer
    x = 8,271.62

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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.