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Finding the Fourth Proportional to 10,253.51, 14,149.88 and 5,947.44

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Solution

The fourth proportional to 10,253.51, 14,149.88 and 5,947.44 is: 8,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.51 : 14,149.88 = 5,947.44 : x
  2. Step 2: Convert to fraction form
    10,253.51/14,149.88 = 5,947.44/x
  3. Step 3: Cross multiply
    10,253.51x = 14,149.88 × 5,947.44
  4. Step 4: Simplify right side
    10,253.51x = 84,155,532.57
  5. Step 5: Solve for x
    x = 84,155,532.57/10,253.51
  6. Step 6: Final answer
    x = 8,207.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.