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Finding the Fourth Proportional to 7,391.94, 10,202.59 and 4,874.50

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Solution

The fourth proportional to 7,391.94, 10,202.59 and 4,874.50 is: 6,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.94 : 10,202.59 = 4,874.50 : x
  2. Step 2: Convert to fraction form
    7,391.94/10,202.59 = 4,874.50/x
  3. Step 3: Cross multiply
    7,391.94x = 10,202.59 × 4,874.50
  4. Step 4: Simplify right side
    7,391.94x = 49,732,538.28
  5. Step 5: Solve for x
    x = 49,732,538.28/7,391.94
  6. Step 6: Final answer
    x = 6,727.94

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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.