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Finding the Fourth Proportional to 7,926.64, 11,883.48 and 2,993.47

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Solution

The fourth proportional to 7,926.64, 11,883.48 and 2,993.47 is: 4,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.64 : 11,883.48 = 2,993.47 : x
  2. Step 2: Convert to fraction form
    7,926.64/11,883.48 = 2,993.47/x
  3. Step 3: Cross multiply
    7,926.64x = 11,883.48 × 2,993.47
  4. Step 4: Simplify right side
    7,926.64x = 35,572,840.88
  5. Step 5: Solve for x
    x = 35,572,840.88/7,926.64
  6. Step 6: Final answer
    x = 4,487.76

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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.