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Finding the Fourth Proportional to 10,920.75, 16,385.24 and 6,541.35

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Solution

The fourth proportional to 10,920.75, 16,385.24 and 6,541.35 is: 9,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.75 : 16,385.24 = 6,541.35 : x
  2. Step 2: Convert to fraction form
    10,920.75/16,385.24 = 6,541.35/x
  3. Step 3: Cross multiply
    10,920.75x = 16,385.24 × 6,541.35
  4. Step 4: Simplify right side
    10,920.75x = 107,181,589.67
  5. Step 5: Solve for x
    x = 107,181,589.67/10,920.75
  6. Step 6: Final answer
    x = 9,814.49

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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.