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Finding the Fourth Proportional to 12,529.87, 17,290.56 and 6,863.57

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Solution

The fourth proportional to 12,529.87, 17,290.56 and 6,863.57 is: 9,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.87 : 17,290.56 = 6,863.57 : x
  2. Step 2: Convert to fraction form
    12,529.87/17,290.56 = 6,863.57/x
  3. Step 3: Cross multiply
    12,529.87x = 17,290.56 × 6,863.57
  4. Step 4: Simplify right side
    12,529.87x = 118,674,973.02
  5. Step 5: Solve for x
    x = 118,674,973.02/12,529.87
  6. Step 6: Final answer
    x = 9,471.36

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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.