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Finding the Fourth Proportional to 10,252.89, 15,349.41 and 7,797.33

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Solution

The fourth proportional to 10,252.89, 15,349.41 and 7,797.33 is: 11,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.89 : 15,349.41 = 7,797.33 : x
  2. Step 2: Convert to fraction form
    10,252.89/15,349.41 = 7,797.33/x
  3. Step 3: Cross multiply
    10,252.89x = 15,349.41 × 7,797.33
  4. Step 4: Simplify right side
    10,252.89x = 119,684,415.08
  5. Step 5: Solve for x
    x = 119,684,415.08/10,252.89
  6. Step 6: Final answer
    x = 11,673.24

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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.