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Finding the Fourth Proportional to 8,424.50, 11,635.11 and 6,558.66

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Solution

The fourth proportional to 8,424.50, 11,635.11 and 6,558.66 is: 9,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.50 : 11,635.11 = 6,558.66 : x
  2. Step 2: Convert to fraction form
    8,424.50/11,635.11 = 6,558.66/x
  3. Step 3: Cross multiply
    8,424.50x = 11,635.11 × 6,558.66
  4. Step 4: Simplify right side
    8,424.50x = 76,310,730.55
  5. Step 5: Solve for x
    x = 76,310,730.55/8,424.50
  6. Step 6: Final answer
    x = 9,058.20

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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.