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Finding the Fourth Proportional to 8,537.01, 11,781.11 and 4,760.40

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Solution

The fourth proportional to 8,537.01, 11,781.11 and 4,760.40 is: 6,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.01 : 11,781.11 = 4,760.40 : x
  2. Step 2: Convert to fraction form
    8,537.01/11,781.11 = 4,760.40/x
  3. Step 3: Cross multiply
    8,537.01x = 11,781.11 × 4,760.40
  4. Step 4: Simplify right side
    8,537.01x = 56,082,796.04
  5. Step 5: Solve for x
    x = 56,082,796.04/8,537.01
  6. Step 6: Final answer
    x = 6,569.37

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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.