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Finding the Fourth Proportional to 11,350, 15,665.07 and 10,851.85

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Solution

The fourth proportional to 11,350, 15,665.07 and 10,851.85 is: 14,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350 : 15,665.07 = 10,851.85 : x
  2. Step 2: Convert to fraction form
    11,350/15,665.07 = 10,851.85/x
  3. Step 3: Cross multiply
    11,350x = 15,665.07 × 10,851.85
  4. Step 4: Simplify right side
    11,350x = 169,994,989.88
  5. Step 5: Solve for x
    x = 169,994,989.88/11,350
  6. Step 6: Final answer
    x = 14,977.53

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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.