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Finding the Fourth Proportional to 6,706.28, 10,058.16 and 3,007.82

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Solution

The fourth proportional to 6,706.28, 10,058.16 and 3,007.82 is: 4,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.28 : 10,058.16 = 3,007.82 : x
  2. Step 2: Convert to fraction form
    6,706.28/10,058.16 = 3,007.82/x
  3. Step 3: Cross multiply
    6,706.28x = 10,058.16 × 3,007.82
  4. Step 4: Simplify right side
    6,706.28x = 30,253,134.81
  5. Step 5: Solve for x
    x = 30,253,134.81/6,706.28
  6. Step 6: Final answer
    x = 4,511.16

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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.