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Finding the Fourth Proportional to 10,761.22, 16,111.76 and 5,813.13

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Solution

The fourth proportional to 10,761.22, 16,111.76 and 5,813.13 is: 8,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.22 : 16,111.76 = 5,813.13 : x
  2. Step 2: Convert to fraction form
    10,761.22/16,111.76 = 5,813.13/x
  3. Step 3: Cross multiply
    10,761.22x = 16,111.76 × 5,813.13
  4. Step 4: Simplify right side
    10,761.22x = 93,659,726.34
  5. Step 5: Solve for x
    x = 93,659,726.34/10,761.22
  6. Step 6: Final answer
    x = 8,703.45

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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.