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Finding the Fourth Proportional to 11,241.47, 15,519.44 and 6,766.31

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Solution

The fourth proportional to 11,241.47, 15,519.44 and 6,766.31 is: 9,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.47 : 15,519.44 = 6,766.31 : x
  2. Step 2: Convert to fraction form
    11,241.47/15,519.44 = 6,766.31/x
  3. Step 3: Cross multiply
    11,241.47x = 15,519.44 × 6,766.31
  4. Step 4: Simplify right side
    11,241.47x = 105,009,347.03
  5. Step 5: Solve for x
    x = 105,009,347.03/11,241.47
  6. Step 6: Final answer
    x = 9,341.25

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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.