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Finding the Fourth Proportional to 10,911.66, 15,057.95 and 6,196.25

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Solution

The fourth proportional to 10,911.66, 15,057.95 and 6,196.25 is: 8,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.66 : 15,057.95 = 6,196.25 : x
  2. Step 2: Convert to fraction form
    10,911.66/15,057.95 = 6,196.25/x
  3. Step 3: Cross multiply
    10,911.66x = 15,057.95 × 6,196.25
  4. Step 4: Simplify right side
    10,911.66x = 93,302,716.42
  5. Step 5: Solve for x
    x = 93,302,716.42/10,911.66
  6. Step 6: Final answer
    x = 8,550.74

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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.