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Finding the Fourth Proportional to 12,865.87, 17,759.28 and 7,562.26

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Solution

The fourth proportional to 12,865.87, 17,759.28 and 7,562.26 is: 10,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.87 : 17,759.28 = 7,562.26 : x
  2. Step 2: Convert to fraction form
    12,865.87/17,759.28 = 7,562.26/x
  3. Step 3: Cross multiply
    12,865.87x = 17,759.28 × 7,562.26
  4. Step 4: Simplify right side
    12,865.87x = 134,300,292.77
  5. Step 5: Solve for x
    x = 134,300,292.77/12,865.87
  6. Step 6: Final answer
    x = 10,438.49

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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.