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Finding the Fourth Proportional to 10,911.34, 16,356.66 and 8,238.84

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Solution

The fourth proportional to 10,911.34, 16,356.66 and 8,238.84 is: 12,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.34 : 16,356.66 = 8,238.84 : x
  2. Step 2: Convert to fraction form
    10,911.34/16,356.66 = 8,238.84/x
  3. Step 3: Cross multiply
    10,911.34x = 16,356.66 × 8,238.84
  4. Step 4: Simplify right side
    10,911.34x = 134,759,904.67
  5. Step 5: Solve for x
    x = 134,759,904.67/10,911.34
  6. Step 6: Final answer
    x = 12,350.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.