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Finding the Fourth Proportional to 7,357.75, 11,039.34 and 3,410.89

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Solution

The fourth proportional to 7,357.75, 11,039.34 and 3,410.89 is: 5,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.75 : 11,039.34 = 3,410.89 : x
  2. Step 2: Convert to fraction form
    7,357.75/11,039.34 = 3,410.89/x
  3. Step 3: Cross multiply
    7,357.75x = 11,039.34 × 3,410.89
  4. Step 4: Simplify right side
    7,357.75x = 37,653,974.41
  5. Step 5: Solve for x
    x = 37,653,974.41/7,357.75
  6. Step 6: Final answer
    x = 5,117.59

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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.