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Finding the Fourth Proportional to 7,007.16, 9,669.96 and 3,863.46

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Solution

The fourth proportional to 7,007.16, 9,669.96 and 3,863.46 is: 5,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.16 : 9,669.96 = 3,863.46 : x
  2. Step 2: Convert to fraction form
    7,007.16/9,669.96 = 3,863.46/x
  3. Step 3: Cross multiply
    7,007.16x = 9,669.96 × 3,863.46
  4. Step 4: Simplify right side
    7,007.16x = 37,359,503.66
  5. Step 5: Solve for x
    x = 37,359,503.66/7,007.16
  6. Step 6: Final answer
    x = 5,331.62

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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.