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Finding the Fourth Proportional to 11,974.86, 17,966.16 and 7,822.99

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Solution

The fourth proportional to 11,974.86, 17,966.16 and 7,822.99 is: 11,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.86 : 17,966.16 = 7,822.99 : x
  2. Step 2: Convert to fraction form
    11,974.86/17,966.16 = 7,822.99/x
  3. Step 3: Cross multiply
    11,974.86x = 17,966.16 × 7,822.99
  4. Step 4: Simplify right side
    11,974.86x = 140,549,000.19
  5. Step 5: Solve for x
    x = 140,549,000.19/11,974.86
  6. Step 6: Final answer
    x = 11,737.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.