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Finding the Fourth Proportional to 7,306.80, 10,084.50 and 4,475.94

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Solution

The fourth proportional to 7,306.80, 10,084.50 and 4,475.94 is: 6,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.80 : 10,084.50 = 4,475.94 : x
  2. Step 2: Convert to fraction form
    7,306.80/10,084.50 = 4,475.94/x
  3. Step 3: Cross multiply
    7,306.80x = 10,084.50 × 4,475.94
  4. Step 4: Simplify right side
    7,306.80x = 45,137,616.93
  5. Step 5: Solve for x
    x = 45,137,616.93/7,306.80
  6. Step 6: Final answer
    x = 6,177.48

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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.