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Finding the Fourth Proportional to 10,086.45, 13,912.83 and 6,505.98

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Solution

The fourth proportional to 10,086.45, 13,912.83 and 6,505.98 is: 8,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.45 : 13,912.83 = 6,505.98 : x
  2. Step 2: Convert to fraction form
    10,086.45/13,912.83 = 6,505.98/x
  3. Step 3: Cross multiply
    10,086.45x = 13,912.83 × 6,505.98
  4. Step 4: Simplify right side
    10,086.45x = 90,516,541.55
  5. Step 5: Solve for x
    x = 90,516,541.55/10,086.45
  6. Step 6: Final answer
    x = 8,974.08

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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.