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Finding the Fourth Proportional to 8,202.06, 12,301.83 and 4,040.91

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Solution

The fourth proportional to 8,202.06, 12,301.83 and 4,040.91 is: 6,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.06 : 12,301.83 = 4,040.91 : x
  2. Step 2: Convert to fraction form
    8,202.06/12,301.83 = 4,040.91/x
  3. Step 3: Cross multiply
    8,202.06x = 12,301.83 × 4,040.91
  4. Step 4: Simplify right side
    8,202.06x = 49,710,587.87
  5. Step 5: Solve for x
    x = 49,710,587.87/8,202.06
  6. Step 6: Final answer
    x = 6,060.74

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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.