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Finding the Fourth Proportional to 6,689.82, 10,016.19 and 5,041.38

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Solution

The fourth proportional to 6,689.82, 10,016.19 and 5,041.38 is: 7,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.82 : 10,016.19 = 5,041.38 : x
  2. Step 2: Convert to fraction form
    6,689.82/10,016.19 = 5,041.38/x
  3. Step 3: Cross multiply
    6,689.82x = 10,016.19 × 5,041.38
  4. Step 4: Simplify right side
    6,689.82x = 50,495,419.94
  5. Step 5: Solve for x
    x = 50,495,419.94/6,689.82
  6. Step 6: Final answer
    x = 7,548.10

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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.