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Finding the Fourth Proportional to 10,505.66, 15,760.11 and 3,111.26

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Solution

The fourth proportional to 10,505.66, 15,760.11 and 3,111.26 is: 4,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.66 : 15,760.11 = 3,111.26 : x
  2. Step 2: Convert to fraction form
    10,505.66/15,760.11 = 3,111.26/x
  3. Step 3: Cross multiply
    10,505.66x = 15,760.11 × 3,111.26
  4. Step 4: Simplify right side
    10,505.66x = 49,033,799.84
  5. Step 5: Solve for x
    x = 49,033,799.84/10,505.66
  6. Step 6: Final answer
    x = 4,667.37

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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.