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Finding the Fourth Proportional to 10,920.90, 16,381.44 and 6,772.98

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Solution

The fourth proportional to 10,920.90, 16,381.44 and 6,772.98 is: 10,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.90 : 16,381.44 = 6,772.98 : x
  2. Step 2: Convert to fraction form
    10,920.90/16,381.44 = 6,772.98/x
  3. Step 3: Cross multiply
    10,920.90x = 16,381.44 × 6,772.98
  4. Step 4: Simplify right side
    10,920.90x = 110,951,165.49
  5. Step 5: Solve for x
    x = 110,951,165.49/10,920.90
  6. Step 6: Final answer
    x = 10,159.53

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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.