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Finding the Fourth Proportional to 11,940.12, 17,885.56 and 6,994.76

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Solution

The fourth proportional to 11,940.12, 17,885.56 and 6,994.76 is: 10,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.12 : 17,885.56 = 6,994.76 : x
  2. Step 2: Convert to fraction form
    11,940.12/17,885.56 = 6,994.76/x
  3. Step 3: Cross multiply
    11,940.12x = 17,885.56 × 6,994.76
  4. Step 4: Simplify right side
    11,940.12x = 125,105,199.67
  5. Step 5: Solve for x
    x = 125,105,199.67/11,940.12
  6. Step 6: Final answer
    x = 10,477.72

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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.