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Finding the Fourth Proportional to 12,871.52, 17,762.46 and 7,206.27

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Solution

The fourth proportional to 12,871.52, 17,762.46 and 7,206.27 is: 9,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.52 : 17,762.46 = 7,206.27 : x
  2. Step 2: Convert to fraction form
    12,871.52/17,762.46 = 7,206.27/x
  3. Step 3: Cross multiply
    12,871.52x = 17,762.46 × 7,206.27
  4. Step 4: Simplify right side
    12,871.52x = 128,001,082.62
  5. Step 5: Solve for x
    x = 128,001,082.62/12,871.52
  6. Step 6: Final answer
    x = 9,944.52

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