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Finding the Fourth Proportional to 8,005.07, 11,992.00 and 4,877.31

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Solution

The fourth proportional to 8,005.07, 11,992.00 and 4,877.31 is: 7,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.07 : 11,992.00 = 4,877.31 : x
  2. Step 2: Convert to fraction form
    8,005.07/11,992.00 = 4,877.31/x
  3. Step 3: Cross multiply
    8,005.07x = 11,992.00 × 4,877.31
  4. Step 4: Simplify right side
    8,005.07x = 58,488,689.33
  5. Step 5: Solve for x
    x = 58,488,689.33/8,005.07
  6. Step 6: Final answer
    x = 7,306.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.