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Finding the Fourth Proportional to 11,434.97, 17,153.98 and 4,038.05

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Solution

The fourth proportional to 11,434.97, 17,153.98 and 4,038.05 is: 6,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.97 : 17,153.98 = 4,038.05 : x
  2. Step 2: Convert to fraction form
    11,434.97/17,153.98 = 4,038.05/x
  3. Step 3: Cross multiply
    11,434.97x = 17,153.98 × 4,038.05
  4. Step 4: Simplify right side
    11,434.97x = 69,268,661.73
  5. Step 5: Solve for x
    x = 69,268,661.73/11,434.97
  6. Step 6: Final answer
    x = 6,057.62

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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.