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Finding the Fourth Proportional to 6,902.56, 10,331.07 and 4,897.42

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Solution

The fourth proportional to 6,902.56, 10,331.07 and 4,897.42 is: 7,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.56 : 10,331.07 = 4,897.42 : x
  2. Step 2: Convert to fraction form
    6,902.56/10,331.07 = 4,897.42/x
  3. Step 3: Cross multiply
    6,902.56x = 10,331.07 × 4,897.42
  4. Step 4: Simplify right side
    6,902.56x = 50,595,588.84
  5. Step 5: Solve for x
    x = 50,595,588.84/6,902.56
  6. Step 6: Final answer
    x = 7,329.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.