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Finding the Fourth Proportional to 8,406.56, 11,603.85 and 5,761.64

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Solution

The fourth proportional to 8,406.56, 11,603.85 and 5,761.64 is: 7,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.56 : 11,603.85 = 5,761.64 : x
  2. Step 2: Convert to fraction form
    8,406.56/11,603.85 = 5,761.64/x
  3. Step 3: Cross multiply
    8,406.56x = 11,603.85 × 5,761.64
  4. Step 4: Simplify right side
    8,406.56x = 66,857,206.31
  5. Step 5: Solve for x
    x = 66,857,206.31/8,406.56
  6. Step 6: Final answer
    x = 7,952.98

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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.