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Finding the Fourth Proportional to 8,562.21, 11,817.41 and 4,977.66

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Solution

The fourth proportional to 8,562.21, 11,817.41 and 4,977.66 is: 6,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.21 : 11,817.41 = 4,977.66 : x
  2. Step 2: Convert to fraction form
    8,562.21/11,817.41 = 4,977.66/x
  3. Step 3: Cross multiply
    8,562.21x = 11,817.41 × 4,977.66
  4. Step 4: Simplify right side
    8,562.21x = 58,823,049.06
  5. Step 5: Solve for x
    x = 58,823,049.06/8,562.21
  6. Step 6: Final answer
    x = 6,870.08

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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.