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Finding the Fourth Proportional to 11,970.56, 16,534.18 and 8,449.50

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Solution

The fourth proportional to 11,970.56, 16,534.18 and 8,449.50 is: 11,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.56 : 16,534.18 = 8,449.50 : x
  2. Step 2: Convert to fraction form
    11,970.56/16,534.18 = 8,449.50/x
  3. Step 3: Cross multiply
    11,970.56x = 16,534.18 × 8,449.50
  4. Step 4: Simplify right side
    11,970.56x = 139,705,553.91
  5. Step 5: Solve for x
    x = 139,705,553.91/11,970.56
  6. Step 6: Final answer
    x = 11,670.76

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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.