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Finding the Fourth Proportional to 8,166, 11,270.04 and 4,854

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Solution

The fourth proportional to 8,166, 11,270.04 and 4,854 is: 6,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166 : 11,270.04 = 4,854 : x
  2. Step 2: Convert to fraction form
    8,166/11,270.04 = 4,854/x
  3. Step 3: Cross multiply
    8,166x = 11,270.04 × 4,854
  4. Step 4: Simplify right side
    8,166x = 54,704,774.16
  5. Step 5: Solve for x
    x = 54,704,774.16/8,166
  6. Step 6: Final answer
    x = 6,699.09

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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.