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Finding the Fourth Proportional to 10,888.26, 16,303.92 and 5,947.68

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Solution

The fourth proportional to 10,888.26, 16,303.92 and 5,947.68 is: 8,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.26 : 16,303.92 = 5,947.68 : x
  2. Step 2: Convert to fraction form
    10,888.26/16,303.92 = 5,947.68/x
  3. Step 3: Cross multiply
    10,888.26x = 16,303.92 × 5,947.68
  4. Step 4: Simplify right side
    10,888.26x = 96,970,498.91
  5. Step 5: Solve for x
    x = 96,970,498.91/10,888.26
  6. Step 6: Final answer
    x = 8,905.97

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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.