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Finding the Fourth Proportional to 10,882.80, 16,291.80 and 9,716.40

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Solution

The fourth proportional to 10,882.80, 16,291.80 and 9,716.40 is: 14,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.80 : 16,291.80 = 9,716.40 : x
  2. Step 2: Convert to fraction form
    10,882.80/16,291.80 = 9,716.40/x
  3. Step 3: Cross multiply
    10,882.80x = 16,291.80 × 9,716.40
  4. Step 4: Simplify right side
    10,882.80x = 158,297,645.52
  5. Step 5: Solve for x
    x = 158,297,645.52/10,882.80
  6. Step 6: Final answer
    x = 14,545.67

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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.