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Finding the Fourth Proportional to 10,415.16, 15,618.54 and 3,839.90

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Solution

The fourth proportional to 10,415.16, 15,618.54 and 3,839.90 is: 5,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.16 : 15,618.54 = 3,839.90 : x
  2. Step 2: Convert to fraction form
    10,415.16/15,618.54 = 3,839.90/x
  3. Step 3: Cross multiply
    10,415.16x = 15,618.54 × 3,839.90
  4. Step 4: Simplify right side
    10,415.16x = 59,973,553.65
  5. Step 5: Solve for x
    x = 59,973,553.65/10,415.16
  6. Step 6: Final answer
    x = 5,758.29

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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.