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Finding the Fourth Proportional to 7,927.80, 11,888.34 and 4,229.24

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Solution

The fourth proportional to 7,927.80, 11,888.34 and 4,229.24 is: 6,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.80 : 11,888.34 = 4,229.24 : x
  2. Step 2: Convert to fraction form
    7,927.80/11,888.34 = 4,229.24/x
  3. Step 3: Cross multiply
    7,927.80x = 11,888.34 × 4,229.24
  4. Step 4: Simplify right side
    7,927.80x = 50,278,643.06
  5. Step 5: Solve for x
    x = 50,278,643.06/7,927.80
  6. Step 6: Final answer
    x = 6,342.07

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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.