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Finding the Fourth Proportional to 11,333.97, 15,641.82 and 6,298.56

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Solution

The fourth proportional to 11,333.97, 15,641.82 and 6,298.56 is: 8,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.97 : 15,641.82 = 6,298.56 : x
  2. Step 2: Convert to fraction form
    11,333.97/15,641.82 = 6,298.56/x
  3. Step 3: Cross multiply
    11,333.97x = 15,641.82 × 6,298.56
  4. Step 4: Simplify right side
    11,333.97x = 98,520,941.78
  5. Step 5: Solve for x
    x = 98,520,941.78/11,333.97
  6. Step 6: Final answer
    x = 8,692.54

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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.