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Finding the Fourth Proportional to 7,007.06, 9,669.64 and 3,863.18

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Solution

The fourth proportional to 7,007.06, 9,669.64 and 3,863.18 is: 5,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.06 : 9,669.64 = 3,863.18 : x
  2. Step 2: Convert to fraction form
    7,007.06/9,669.64 = 3,863.18/x
  3. Step 3: Cross multiply
    7,007.06x = 9,669.64 × 3,863.18
  4. Step 4: Simplify right side
    7,007.06x = 37,355,559.86
  5. Step 5: Solve for x
    x = 37,355,559.86/7,007.06
  6. Step 6: Final answer
    x = 5,331.13

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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.