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Finding the Fourth Proportional to 7,773.73, 10,729.85 and 4,416.69

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Solution

The fourth proportional to 7,773.73, 10,729.85 and 4,416.69 is: 6,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.73 : 10,729.85 = 4,416.69 : x
  2. Step 2: Convert to fraction form
    7,773.73/10,729.85 = 4,416.69/x
  3. Step 3: Cross multiply
    7,773.73x = 10,729.85 × 4,416.69
  4. Step 4: Simplify right side
    7,773.73x = 47,390,358.88
  5. Step 5: Solve for x
    x = 47,390,358.88/7,773.73
  6. Step 6: Final answer
    x = 6,096.22

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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.