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Finding the Fourth Proportional to 10,508.57, 15,767.08 and 4,269.07

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Solution

The fourth proportional to 10,508.57, 15,767.08 and 4,269.07 is: 6,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.57 : 15,767.08 = 4,269.07 : x
  2. Step 2: Convert to fraction form
    10,508.57/15,767.08 = 4,269.07/x
  3. Step 3: Cross multiply
    10,508.57x = 15,767.08 × 4,269.07
  4. Step 4: Simplify right side
    10,508.57x = 67,310,777.25
  5. Step 5: Solve for x
    x = 67,310,777.25/10,508.57
  6. Step 6: Final answer
    x = 6,405.32

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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.