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Finding the Fourth Proportional to 10,912.95, 15,059.89 and 6,197.23

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Solution

The fourth proportional to 10,912.95, 15,059.89 and 6,197.23 is: 8,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.95 : 15,059.89 = 6,197.23 : x
  2. Step 2: Convert to fraction form
    10,912.95/15,059.89 = 6,197.23/x
  3. Step 3: Cross multiply
    10,912.95x = 15,059.89 × 6,197.23
  4. Step 4: Simplify right side
    10,912.95x = 93,329,602.10
  5. Step 5: Solve for x
    x = 93,329,602.10/10,912.95
  6. Step 6: Final answer
    x = 8,552.19

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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.