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Finding the Fourth Proportional to 11,448.95, 15,796.82 and 6,665.96

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Solution

The fourth proportional to 11,448.95, 15,796.82 and 6,665.96 is: 9,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.95 : 15,796.82 = 6,665.96 : x
  2. Step 2: Convert to fraction form
    11,448.95/15,796.82 = 6,665.96/x
  3. Step 3: Cross multiply
    11,448.95x = 15,796.82 × 6,665.96
  4. Step 4: Simplify right side
    11,448.95x = 105,300,907.93
  5. Step 5: Solve for x
    x = 105,300,907.93/11,448.95
  6. Step 6: Final answer
    x = 9,197.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.