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Finding the Fourth Proportional to 10,833.96, 14,949.77 and 6,117.33

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Solution

The fourth proportional to 10,833.96, 14,949.77 and 6,117.33 is: 8,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.96 : 14,949.77 = 6,117.33 : x
  2. Step 2: Convert to fraction form
    10,833.96/14,949.77 = 6,117.33/x
  3. Step 3: Cross multiply
    10,833.96x = 14,949.77 × 6,117.33
  4. Step 4: Simplify right side
    10,833.96x = 91,452,645.93
  5. Step 5: Solve for x
    x = 91,452,645.93/10,833.96
  6. Step 6: Final answer
    x = 8,441.29

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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.