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Finding the Fourth Proportional to 7,924.96, 11,886.48 and 2,994.76

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Solution

The fourth proportional to 7,924.96, 11,886.48 and 2,994.76 is: 4,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.96 : 11,886.48 = 2,994.76 : x
  2. Step 2: Convert to fraction form
    7,924.96/11,886.48 = 2,994.76/x
  3. Step 3: Cross multiply
    7,924.96x = 11,886.48 × 2,994.76
  4. Step 4: Simplify right side
    7,924.96x = 35,597,154.84
  5. Step 5: Solve for x
    x = 35,597,154.84/7,924.96
  6. Step 6: Final answer
    x = 4,491.78

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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.