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Finding the Fourth Proportional to 8,210, 11,323.08 and 5,066.96

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Solution

The fourth proportional to 8,210, 11,323.08 and 5,066.96 is: 6,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210 : 11,323.08 = 5,066.96 : x
  2. Step 2: Convert to fraction form
    8,210/11,323.08 = 5,066.96/x
  3. Step 3: Cross multiply
    8,210x = 11,323.08 × 5,066.96
  4. Step 4: Simplify right side
    8,210x = 57,373,593.44
  5. Step 5: Solve for x
    x = 57,373,593.44/8,210
  6. Step 6: Final answer
    x = 6,988.26

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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.