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Finding the Fourth Proportional to 10,900.97, 16,351.18 and 7,334.95

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Solution

The fourth proportional to 10,900.97, 16,351.18 and 7,334.95 is: 11,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.97 : 16,351.18 = 7,334.95 : x
  2. Step 2: Convert to fraction form
    10,900.97/16,351.18 = 7,334.95/x
  3. Step 3: Cross multiply
    10,900.97x = 16,351.18 × 7,334.95
  4. Step 4: Simplify right side
    10,900.97x = 119,935,087.74
  5. Step 5: Solve for x
    x = 119,935,087.74/10,900.97
  6. Step 6: Final answer
    x = 11,002.24

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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.