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Finding the Fourth Proportional to 7,783.84, 11,679.36 and 4,227.13

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Solution

The fourth proportional to 7,783.84, 11,679.36 and 4,227.13 is: 6,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.84 : 11,679.36 = 4,227.13 : x
  2. Step 2: Convert to fraction form
    7,783.84/11,679.36 = 4,227.13/x
  3. Step 3: Cross multiply
    7,783.84x = 11,679.36 × 4,227.13
  4. Step 4: Simplify right side
    7,783.84x = 49,370,173.04
  5. Step 5: Solve for x
    x = 49,370,173.04/7,783.84
  6. Step 6: Final answer
    x = 6,342.65

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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.