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Finding the Fourth Proportional to 11,427.68, 17,142.89 and 4,030.61

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Solution

The fourth proportional to 11,427.68, 17,142.89 and 4,030.61 is: 6,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.68 : 17,142.89 = 4,030.61 : x
  2. Step 2: Convert to fraction form
    11,427.68/17,142.89 = 4,030.61/x
  3. Step 3: Cross multiply
    11,427.68x = 17,142.89 × 4,030.61
  4. Step 4: Simplify right side
    11,427.68x = 69,096,317.10
  5. Step 5: Solve for x
    x = 69,096,317.10/11,427.68
  6. Step 6: Final answer
    x = 6,046.40

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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.