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Finding the Fourth Proportional to 8,266.16, 11,423.68 and 6,771.72

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Solution

The fourth proportional to 8,266.16, 11,423.68 and 6,771.72 is: 9,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.16 : 11,423.68 = 6,771.72 : x
  2. Step 2: Convert to fraction form
    8,266.16/11,423.68 = 6,771.72/x
  3. Step 3: Cross multiply
    8,266.16x = 11,423.68 × 6,771.72
  4. Step 4: Simplify right side
    8,266.16x = 77,357,962.33
  5. Step 5: Solve for x
    x = 77,357,962.33/8,266.16
  6. Step 6: Final answer
    x = 9,358.39

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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.