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Finding the Fourth Proportional to 7,713.62, 11,571.03 and 2,783.76

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Solution

The fourth proportional to 7,713.62, 11,571.03 and 2,783.76 is: 4,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.62 : 11,571.03 = 2,783.76 : x
  2. Step 2: Convert to fraction form
    7,713.62/11,571.03 = 2,783.76/x
  3. Step 3: Cross multiply
    7,713.62x = 11,571.03 × 2,783.76
  4. Step 4: Simplify right side
    7,713.62x = 32,210,970.47
  5. Step 5: Solve for x
    x = 32,210,970.47/7,713.62
  6. Step 6: Final answer
    x = 4,175.86

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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.