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Finding the Fourth Proportional to 10,165.03, 15,226.08 and 8,405.71

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Solution

The fourth proportional to 10,165.03, 15,226.08 and 8,405.71 is: 12,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.03 : 15,226.08 = 8,405.71 : x
  2. Step 2: Convert to fraction form
    10,165.03/15,226.08 = 8,405.71/x
  3. Step 3: Cross multiply
    10,165.03x = 15,226.08 × 8,405.71
  4. Step 4: Simplify right side
    10,165.03x = 127,986,012.92
  5. Step 5: Solve for x
    x = 127,986,012.92/10,165.03
  6. Step 6: Final answer
    x = 12,590.82

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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.