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Finding the Fourth Proportional to 10,164.65, 15,235.85 and 5,234.58

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Solution

The fourth proportional to 10,164.65, 15,235.85 and 5,234.58 is: 7,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.65 : 15,235.85 = 5,234.58 : x
  2. Step 2: Convert to fraction form
    10,164.65/15,235.85 = 5,234.58/x
  3. Step 3: Cross multiply
    10,164.65x = 15,235.85 × 5,234.58
  4. Step 4: Simplify right side
    10,164.65x = 79,753,249.52
  5. Step 5: Solve for x
    x = 79,753,249.52/10,164.65
  6. Step 6: Final answer
    x = 7,846.14

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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.