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Finding the Fourth Proportional to 7,472.25, 10,311.98 and 4,114.98

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Solution

The fourth proportional to 7,472.25, 10,311.98 and 4,114.98 is: 5,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.25 : 10,311.98 = 4,114.98 : x
  2. Step 2: Convert to fraction form
    7,472.25/10,311.98 = 4,114.98/x
  3. Step 3: Cross multiply
    7,472.25x = 10,311.98 × 4,114.98
  4. Step 4: Simplify right side
    7,472.25x = 42,433,576.60
  5. Step 5: Solve for x
    x = 42,433,576.60/7,472.25
  6. Step 6: Final answer
    x = 5,678.82

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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.