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Finding the Fourth Proportional to 7,926.40, 11,879.27 and 4,416.27

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Solution

The fourth proportional to 7,926.40, 11,879.27 and 4,416.27 is: 6,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.40 : 11,879.27 = 4,416.27 : x
  2. Step 2: Convert to fraction form
    7,926.40/11,879.27 = 4,416.27/x
  3. Step 3: Cross multiply
    7,926.40x = 11,879.27 × 4,416.27
  4. Step 4: Simplify right side
    7,926.40x = 52,462,013.66
  5. Step 5: Solve for x
    x = 52,462,013.66/7,926.40
  6. Step 6: Final answer
    x = 6,618.64

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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.