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Finding the Fourth Proportional to 12,866.85, 17,756.57 and 7,201.56

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Solution

The fourth proportional to 12,866.85, 17,756.57 and 7,201.56 is: 9,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.85 : 17,756.57 = 7,201.56 : x
  2. Step 2: Convert to fraction form
    12,866.85/17,756.57 = 7,201.56/x
  3. Step 3: Cross multiply
    12,866.85x = 17,756.57 × 7,201.56
  4. Step 4: Simplify right side
    12,866.85x = 127,875,004.25
  5. Step 5: Solve for x
    x = 127,875,004.25/12,866.85
  6. Step 6: Final answer
    x = 9,938.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.