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Finding the Fourth Proportional to 11,453.65, 17,184.72 and 3,663.07

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Solution

The fourth proportional to 11,453.65, 17,184.72 and 3,663.07 is: 5,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.65 : 17,184.72 = 3,663.07 : x
  2. Step 2: Convert to fraction form
    11,453.65/17,184.72 = 3,663.07/x
  3. Step 3: Cross multiply
    11,453.65x = 17,184.72 × 3,663.07
  4. Step 4: Simplify right side
    11,453.65x = 62,948,803.07
  5. Step 5: Solve for x
    x = 62,948,803.07/11,453.65
  6. Step 6: Final answer
    x = 5,495.96

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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.