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Finding the Fourth Proportional to 11,015.77, 15,200.15 and 6,539.71

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Solution

The fourth proportional to 11,015.77, 15,200.15 and 6,539.71 is: 9,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015.77 : 15,200.15 = 6,539.71 : x
  2. Step 2: Convert to fraction form
    11,015.77/15,200.15 = 6,539.71/x
  3. Step 3: Cross multiply
    11,015.77x = 15,200.15 × 6,539.71
  4. Step 4: Simplify right side
    11,015.77x = 99,404,540.26
  5. Step 5: Solve for x
    x = 99,404,540.26/11,015.77
  6. Step 6: Final answer
    x = 9,023.84

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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.