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Finding the Fourth Proportional to 7,923.84, 11,886.98 and 2,728.50

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Solution

The fourth proportional to 7,923.84, 11,886.98 and 2,728.50 is: 4,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.84 : 11,886.98 = 2,728.50 : x
  2. Step 2: Convert to fraction form
    7,923.84/11,886.98 = 2,728.50/x
  3. Step 3: Cross multiply
    7,923.84x = 11,886.98 × 2,728.50
  4. Step 4: Simplify right side
    7,923.84x = 32,433,624.93
  5. Step 5: Solve for x
    x = 32,433,624.93/7,923.84
  6. Step 6: Final answer
    x = 4,093.17

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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.