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Finding the Fourth Proportional to 8,406.06, 11,603.16 and 5,761.14

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Solution

The fourth proportional to 8,406.06, 11,603.16 and 5,761.14 is: 7,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.06 : 11,603.16 = 5,761.14 : x
  2. Step 2: Convert to fraction form
    8,406.06/11,603.16 = 5,761.14/x
  3. Step 3: Cross multiply
    8,406.06x = 11,603.16 × 5,761.14
  4. Step 4: Simplify right side
    8,406.06x = 66,847,429.20
  5. Step 5: Solve for x
    x = 66,847,429.20/8,406.06
  6. Step 6: Final answer
    x = 7,952.29

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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.