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Finding the Fourth Proportional to 10,920.65, 16,360.19 and 5,647.76

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Solution

The fourth proportional to 10,920.65, 16,360.19 and 5,647.76 is: 8,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.65 : 16,360.19 = 5,647.76 : x
  2. Step 2: Convert to fraction form
    10,920.65/16,360.19 = 5,647.76/x
  3. Step 3: Cross multiply
    10,920.65x = 16,360.19 × 5,647.76
  4. Step 4: Simplify right side
    10,920.65x = 92,398,358.99
  5. Step 5: Solve for x
    x = 92,398,358.99/10,920.65
  6. Step 6: Final answer
    x = 8,460.89

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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.