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Finding the Fourth Proportional to 7,260.42, 10,018.34 and 4,116

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Solution

The fourth proportional to 7,260.42, 10,018.34 and 4,116 is: 5,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.42 : 10,018.34 = 4,116 : x
  2. Step 2: Convert to fraction form
    7,260.42/10,018.34 = 4,116/x
  3. Step 3: Cross multiply
    7,260.42x = 10,018.34 × 4,116
  4. Step 4: Simplify right side
    7,260.42x = 41,235,487.44
  5. Step 5: Solve for x
    x = 41,235,487.44/7,260.42
  6. Step 6: Final answer
    x = 5,679.49

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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.