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Finding the Fourth Proportional to 8,725.65, 13,029.38 and 6,855.77

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Solution

The fourth proportional to 8,725.65, 13,029.38 and 6,855.77 is: 10,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.65 : 13,029.38 = 6,855.77 : x
  2. Step 2: Convert to fraction form
    8,725.65/13,029.38 = 6,855.77/x
  3. Step 3: Cross multiply
    8,725.65x = 13,029.38 × 6,855.77
  4. Step 4: Simplify right side
    8,725.65x = 89,326,333.10
  5. Step 5: Solve for x
    x = 89,326,333.10/8,725.65
  6. Step 6: Final answer
    x = 10,237.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.