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Finding the Fourth Proportional to 7,739.98, 11,614.22 and 3,357.47

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Solution

The fourth proportional to 7,739.98, 11,614.22 and 3,357.47 is: 5,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.98 : 11,614.22 = 3,357.47 : x
  2. Step 2: Convert to fraction form
    7,739.98/11,614.22 = 3,357.47/x
  3. Step 3: Cross multiply
    7,739.98x = 11,614.22 × 3,357.47
  4. Step 4: Simplify right side
    7,739.98x = 38,994,395.22
  5. Step 5: Solve for x
    x = 38,994,395.22/7,739.98
  6. Step 6: Final answer
    x = 5,038.05

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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.