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Finding the Fourth Proportional to 7,703.28, 11,555.98 and 2,772

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Solution

The fourth proportional to 7,703.28, 11,555.98 and 2,772 is: 4,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.28 : 11,555.98 = 2,772 : x
  2. Step 2: Convert to fraction form
    7,703.28/11,555.98 = 2,772/x
  3. Step 3: Cross multiply
    7,703.28x = 11,555.98 × 2,772
  4. Step 4: Simplify right side
    7,703.28x = 32,033,176.56
  5. Step 5: Solve for x
    x = 32,033,176.56/7,703.28
  6. Step 6: Final answer
    x = 4,158.38

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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.