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Finding the Fourth Proportional to 7,484.42, 11,179.24 and 5,823.68

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Solution

The fourth proportional to 7,484.42, 11,179.24 and 5,823.68 is: 8,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.42 : 11,179.24 = 5,823.68 : x
  2. Step 2: Convert to fraction form
    7,484.42/11,179.24 = 5,823.68/x
  3. Step 3: Cross multiply
    7,484.42x = 11,179.24 × 5,823.68
  4. Step 4: Simplify right side
    7,484.42x = 65,104,245.95
  5. Step 5: Solve for x
    x = 65,104,245.95/7,484.42
  6. Step 6: Final answer
    x = 8,698.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.