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Finding the Fourth Proportional to 8,010.54, 12,005.35 and 5,796.83

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Solution

The fourth proportional to 8,010.54, 12,005.35 and 5,796.83 is: 8,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.54 : 12,005.35 = 5,796.83 : x
  2. Step 2: Convert to fraction form
    8,010.54/12,005.35 = 5,796.83/x
  3. Step 3: Cross multiply
    8,010.54x = 12,005.35 × 5,796.83
  4. Step 4: Simplify right side
    8,010.54x = 69,592,927.51
  5. Step 5: Solve for x
    x = 69,592,927.51/8,010.54
  6. Step 6: Final answer
    x = 8,687.68

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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.