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Finding the Fourth Proportional to 10,505.66, 15,758.44 and 3,110.17

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Solution

The fourth proportional to 10,505.66, 15,758.44 and 3,110.17 is: 4,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.66 : 15,758.44 = 3,110.17 : x
  2. Step 2: Convert to fraction form
    10,505.66/15,758.44 = 3,110.17/x
  3. Step 3: Cross multiply
    10,505.66x = 15,758.44 × 3,110.17
  4. Step 4: Simplify right side
    10,505.66x = 49,011,427.33
  5. Step 5: Solve for x
    x = 49,011,427.33/10,505.66
  6. Step 6: Final answer
    x = 4,665.24

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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.