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Finding the Fourth Proportional to 7,900.66, 11,854.45 and 3,743.64

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Solution

The fourth proportional to 7,900.66, 11,854.45 and 3,743.64 is: 5,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.66 : 11,854.45 = 3,743.64 : x
  2. Step 2: Convert to fraction form
    7,900.66/11,854.45 = 3,743.64/x
  3. Step 3: Cross multiply
    7,900.66x = 11,854.45 × 3,743.64
  4. Step 4: Simplify right side
    7,900.66x = 44,378,733.93
  5. Step 5: Solve for x
    x = 44,378,733.93/7,900.66
  6. Step 6: Final answer
    x = 5,617.09

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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.