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Finding the Fourth Proportional to 10,115.12, 15,174.90 and 3,095.18

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Solution

The fourth proportional to 10,115.12, 15,174.90 and 3,095.18 is: 4,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.12 : 15,174.90 = 3,095.18 : x
  2. Step 2: Convert to fraction form
    10,115.12/15,174.90 = 3,095.18/x
  3. Step 3: Cross multiply
    10,115.12x = 15,174.90 × 3,095.18
  4. Step 4: Simplify right side
    10,115.12x = 46,969,084.92
  5. Step 5: Solve for x
    x = 46,969,084.92/10,115.12
  6. Step 6: Final answer
    x = 4,643.46

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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.