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Finding the Fourth Proportional to 8,569.30, 12,853.80 and 2,725.82

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Solution

The fourth proportional to 8,569.30, 12,853.80 and 2,725.82 is: 4,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.30 : 12,853.80 = 2,725.82 : x
  2. Step 2: Convert to fraction form
    8,569.30/12,853.80 = 2,725.82/x
  3. Step 3: Cross multiply
    8,569.30x = 12,853.80 × 2,725.82
  4. Step 4: Simplify right side
    8,569.30x = 35,037,145.12
  5. Step 5: Solve for x
    x = 35,037,145.12/8,569.30
  6. Step 6: Final answer
    x = 4,088.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.