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Finding the Fourth Proportional to 8,422.98, 11,616.31 and 5,064.58

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Solution

The fourth proportional to 8,422.98, 11,616.31 and 5,064.58 is: 6,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.98 : 11,616.31 = 5,064.58 : x
  2. Step 2: Convert to fraction form
    8,422.98/11,616.31 = 5,064.58/x
  3. Step 3: Cross multiply
    8,422.98x = 11,616.31 × 5,064.58
  4. Step 4: Simplify right side
    8,422.98x = 58,831,731.30
  5. Step 5: Solve for x
    x = 58,831,731.30/8,422.98
  6. Step 6: Final answer
    x = 6,984.67

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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.