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Finding the Fourth Proportional to 7,005.05, 9,666.88 and 3,861.17

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Solution

The fourth proportional to 7,005.05, 9,666.88 and 3,861.17 is: 5,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.05 : 9,666.88 = 3,861.17 : x
  2. Step 2: Convert to fraction form
    7,005.05/9,666.88 = 3,861.17/x
  3. Step 3: Cross multiply
    7,005.05x = 9,666.88 × 3,861.17
  4. Step 4: Simplify right side
    7,005.05x = 37,325,467.05
  5. Step 5: Solve for x
    x = 37,325,467.05/7,005.05
  6. Step 6: Final answer
    x = 5,328.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.