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Finding the Fourth Proportional to 7,132.57, 10,699.36 and 2,201.57

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Solution

The fourth proportional to 7,132.57, 10,699.36 and 2,201.57 is: 3,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.57 : 10,699.36 = 2,201.57 : x
  2. Step 2: Convert to fraction form
    7,132.57/10,699.36 = 2,201.57/x
  3. Step 3: Cross multiply
    7,132.57x = 10,699.36 × 2,201.57
  4. Step 4: Simplify right side
    7,132.57x = 23,555,336.50
  5. Step 5: Solve for x
    x = 23,555,336.50/7,132.57
  6. Step 6: Final answer
    x = 3,302.51

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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.