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Finding the Fourth Proportional to 11,625.41, 16,043.12 and 6,909.72

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Solution

The fourth proportional to 11,625.41, 16,043.12 and 6,909.72 is: 9,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.41 : 16,043.12 = 6,909.72 : x
  2. Step 2: Convert to fraction form
    11,625.41/16,043.12 = 6,909.72/x
  3. Step 3: Cross multiply
    11,625.41x = 16,043.12 × 6,909.72
  4. Step 4: Simplify right side
    11,625.41x = 110,853,432.58
  5. Step 5: Solve for x
    x = 110,853,432.58/11,625.41
  6. Step 6: Final answer
    x = 9,535.45

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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.