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Finding the Fourth Proportional to 7,614.80, 11,405.79 and 3,711

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Solution

The fourth proportional to 7,614.80, 11,405.79 and 3,711 is: 5,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.80 : 11,405.79 = 3,711 : x
  2. Step 2: Convert to fraction form
    7,614.80/11,405.79 = 3,711/x
  3. Step 3: Cross multiply
    7,614.80x = 11,405.79 × 3,711
  4. Step 4: Simplify right side
    7,614.80x = 42,326,886.69
  5. Step 5: Solve for x
    x = 42,326,886.69/7,614.80
  6. Step 6: Final answer
    x = 5,558.51

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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.