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Finding the Fourth Proportional to 7,166.36, 10,753.69 and 3,006

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Solution

The fourth proportional to 7,166.36, 10,753.69 and 3,006 is: 4,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.36 : 10,753.69 = 3,006 : x
  2. Step 2: Convert to fraction form
    7,166.36/10,753.69 = 3,006/x
  3. Step 3: Cross multiply
    7,166.36x = 10,753.69 × 3,006
  4. Step 4: Simplify right side
    7,166.36x = 32,325,592.14
  5. Step 5: Solve for x
    x = 32,325,592.14/7,166.36
  6. Step 6: Final answer
    x = 4,510.74

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Why These Related Problems?

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