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Finding the Fourth Proportional to 8,537.40, 11,781.67 and 4,760.80

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Solution

The fourth proportional to 8,537.40, 11,781.67 and 4,760.80 is: 6,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.40 : 11,781.67 = 4,760.80 : x
  2. Step 2: Convert to fraction form
    8,537.40/11,781.67 = 4,760.80/x
  3. Step 3: Cross multiply
    8,537.40x = 11,781.67 × 4,760.80
  4. Step 4: Simplify right side
    8,537.40x = 56,090,174.54
  5. Step 5: Solve for x
    x = 56,090,174.54/8,537.40
  6. Step 6: Final answer
    x = 6,569.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.