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Finding the Fourth Proportional to 12,863.94, 17,752.20 and 7,561.80

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Solution

The fourth proportional to 12,863.94, 17,752.20 and 7,561.80 is: 10,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.94 : 17,752.20 = 7,561.80 : x
  2. Step 2: Convert to fraction form
    12,863.94/17,752.20 = 7,561.80/x
  3. Step 3: Cross multiply
    12,863.94x = 17,752.20 × 7,561.80
  4. Step 4: Simplify right side
    12,863.94x = 134,238,585.96
  5. Step 5: Solve for x
    x = 134,238,585.96/12,863.94
  6. Step 6: Final answer
    x = 10,435.26

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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.