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Finding the Fourth Proportional to 10,711.86, 16,068.21 and 2,920.65

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Solution

The fourth proportional to 10,711.86, 16,068.21 and 2,920.65 is: 4,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.86 : 16,068.21 = 2,920.65 : x
  2. Step 2: Convert to fraction form
    10,711.86/16,068.21 = 2,920.65/x
  3. Step 3: Cross multiply
    10,711.86x = 16,068.21 × 2,920.65
  4. Step 4: Simplify right side
    10,711.86x = 46,929,617.54
  5. Step 5: Solve for x
    x = 46,929,617.54/10,711.86
  6. Step 6: Final answer
    x = 4,381.09

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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.