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Finding the Fourth Proportional to 10,165.75, 15,234.76 and 6,218.38

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Solution

The fourth proportional to 10,165.75, 15,234.76 and 6,218.38 is: 9,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.75 : 15,234.76 = 6,218.38 : x
  2. Step 2: Convert to fraction form
    10,165.75/15,234.76 = 6,218.38/x
  3. Step 3: Cross multiply
    10,165.75x = 15,234.76 × 6,218.38
  4. Step 4: Simplify right side
    10,165.75x = 94,735,526.89
  5. Step 5: Solve for x
    x = 94,735,526.89/10,165.75
  6. Step 6: Final answer
    x = 9,319.09

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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.