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Finding the Fourth Proportional to 11,963.51, 17,945.26 and 5,382

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Solution

The fourth proportional to 11,963.51, 17,945.26 and 5,382 is: 8,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.51 : 17,945.26 = 5,382 : x
  2. Step 2: Convert to fraction form
    11,963.51/17,945.26 = 5,382/x
  3. Step 3: Cross multiply
    11,963.51x = 17,945.26 × 5,382
  4. Step 4: Simplify right side
    11,963.51x = 96,581,389.32
  5. Step 5: Solve for x
    x = 96,581,389.32/11,963.51
  6. Step 6: Final answer
    x = 8,073.00

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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.