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Finding the Fourth Proportional to 11,538.59, 17,307.89 and 3,641.90

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Solution

The fourth proportional to 11,538.59, 17,307.89 and 3,641.90 is: 5,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.59 : 17,307.89 = 3,641.90 : x
  2. Step 2: Convert to fraction form
    11,538.59/17,307.89 = 3,641.90/x
  3. Step 3: Cross multiply
    11,538.59x = 17,307.89 × 3,641.90
  4. Step 4: Simplify right side
    11,538.59x = 63,033,629.65
  5. Step 5: Solve for x
    x = 63,033,629.65/11,538.59
  6. Step 6: Final answer
    x = 5,462.85

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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.