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Finding the Fourth Proportional to 7,808.24, 10,778.88 and 4,979.41

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Solution

The fourth proportional to 7,808.24, 10,778.88 and 4,979.41 is: 6,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.24 : 10,778.88 = 4,979.41 : x
  2. Step 2: Convert to fraction form
    7,808.24/10,778.88 = 4,979.41/x
  3. Step 3: Cross multiply
    7,808.24x = 10,778.88 × 4,979.41
  4. Step 4: Simplify right side
    7,808.24x = 53,672,462.86
  5. Step 5: Solve for x
    x = 53,672,462.86/7,808.24
  6. Step 6: Final answer
    x = 6,873.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.