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Finding the Fourth Proportional to 10,920.42, 16,356.02 and 6,528.66

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Solution

The fourth proportional to 10,920.42, 16,356.02 and 6,528.66 is: 9,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.42 : 16,356.02 = 6,528.66 : x
  2. Step 2: Convert to fraction form
    10,920.42/16,356.02 = 6,528.66/x
  3. Step 3: Cross multiply
    10,920.42x = 16,356.02 × 6,528.66
  4. Step 4: Simplify right side
    10,920.42x = 106,782,860.89
  5. Step 5: Solve for x
    x = 106,782,860.89/10,920.42
  6. Step 6: Final answer
    x = 9,778.27

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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.