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Finding the Fourth Proportional to 7,305.66, 10,950.12 and 2,920.86

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Solution

The fourth proportional to 7,305.66, 10,950.12 and 2,920.86 is: 4,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.66 : 10,950.12 = 2,920.86 : x
  2. Step 2: Convert to fraction form
    7,305.66/10,950.12 = 2,920.86/x
  3. Step 3: Cross multiply
    7,305.66x = 10,950.12 × 2,920.86
  4. Step 4: Simplify right side
    7,305.66x = 31,983,767.50
  5. Step 5: Solve for x
    x = 31,983,767.50/7,305.66
  6. Step 6: Final answer
    x = 4,377.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.