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Finding the Fourth Proportional to 7,141.49, 9,854.89 and 4,157.11

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Solution

The fourth proportional to 7,141.49, 9,854.89 and 4,157.11 is: 5,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.49 : 9,854.89 = 4,157.11 : x
  2. Step 2: Convert to fraction form
    7,141.49/9,854.89 = 4,157.11/x
  3. Step 3: Cross multiply
    7,141.49x = 9,854.89 × 4,157.11
  4. Step 4: Simplify right side
    7,141.49x = 40,967,861.77
  5. Step 5: Solve for x
    x = 40,967,861.77/7,141.49
  6. Step 6: Final answer
    x = 5,736.60

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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.