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Finding the Fourth Proportional to 10,026.03, 13,836.19 and 5,778.12

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Solution

The fourth proportional to 10,026.03, 13,836.19 and 5,778.12 is: 7,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.03 : 13,836.19 = 5,778.12 : x
  2. Step 2: Convert to fraction form
    10,026.03/13,836.19 = 5,778.12/x
  3. Step 3: Cross multiply
    10,026.03x = 13,836.19 × 5,778.12
  4. Step 4: Simplify right side
    10,026.03x = 79,947,211.23
  5. Step 5: Solve for x
    x = 79,947,211.23/10,026.03
  6. Step 6: Final answer
    x = 7,973.97

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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.