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Finding the Fourth Proportional to 11,289.60, 15,578.18 and 6,509.73

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Solution

The fourth proportional to 11,289.60, 15,578.18 and 6,509.73 is: 8,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.60 : 15,578.18 = 6,509.73 : x
  2. Step 2: Convert to fraction form
    11,289.60/15,578.18 = 6,509.73/x
  3. Step 3: Cross multiply
    11,289.60x = 15,578.18 × 6,509.73
  4. Step 4: Simplify right side
    11,289.60x = 101,409,679.14
  5. Step 5: Solve for x
    x = 101,409,679.14/11,289.60
  6. Step 6: Final answer
    x = 8,982.57

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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.