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Finding the Fourth Proportional to 7,833.66, 11,747.74 and 3,152.44

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Solution

The fourth proportional to 7,833.66, 11,747.74 and 3,152.44 is: 4,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.66 : 11,747.74 = 3,152.44 : x
  2. Step 2: Convert to fraction form
    7,833.66/11,747.74 = 3,152.44/x
  3. Step 3: Cross multiply
    7,833.66x = 11,747.74 × 3,152.44
  4. Step 4: Simplify right side
    7,833.66x = 37,034,045.49
  5. Step 5: Solve for x
    x = 37,034,045.49/7,833.66
  6. Step 6: Final answer
    x = 4,727.55

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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.