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Finding the Fourth Proportional to 7,109.19, 10,654.88 and 5,471.91

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Solution

The fourth proportional to 7,109.19, 10,654.88 and 5,471.91 is: 8,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.19 : 10,654.88 = 5,471.91 : x
  2. Step 2: Convert to fraction form
    7,109.19/10,654.88 = 5,471.91/x
  3. Step 3: Cross multiply
    7,109.19x = 10,654.88 × 5,471.91
  4. Step 4: Simplify right side
    7,109.19x = 58,302,517.06
  5. Step 5: Solve for x
    x = 58,302,517.06/7,109.19
  6. Step 6: Final answer
    x = 8,201.01

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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.