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Finding the Fourth Proportional to 11,700.62, 16,150.70 and 9,314.98

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Solution

The fourth proportional to 11,700.62, 16,150.70 and 9,314.98 is: 12,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.62 : 16,150.70 = 9,314.98 : x
  2. Step 2: Convert to fraction form
    11,700.62/16,150.70 = 9,314.98/x
  3. Step 3: Cross multiply
    11,700.62x = 16,150.70 × 9,314.98
  4. Step 4: Simplify right side
    11,700.62x = 150,443,447.49
  5. Step 5: Solve for x
    x = 150,443,447.49/11,700.62
  6. Step 6: Final answer
    x = 12,857.73

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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.