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Finding the Fourth Proportional to 7,357.65, 11,036.82 and 2,427.72

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Solution

The fourth proportional to 7,357.65, 11,036.82 and 2,427.72 is: 3,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.65 : 11,036.82 = 2,427.72 : x
  2. Step 2: Convert to fraction form
    7,357.65/11,036.82 = 2,427.72/x
  3. Step 3: Cross multiply
    7,357.65x = 11,036.82 × 2,427.72
  4. Step 4: Simplify right side
    7,357.65x = 26,794,308.65
  5. Step 5: Solve for x
    x = 26,794,308.65/7,357.65
  6. Step 6: Final answer
    x = 3,641.69

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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.