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Finding the Fourth Proportional to 13,471.95, 18,591.32 and 7,807.79

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Solution

The fourth proportional to 13,471.95, 18,591.32 and 7,807.79 is: 10,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.95 : 18,591.32 = 7,807.79 : x
  2. Step 2: Convert to fraction form
    13,471.95/18,591.32 = 7,807.79/x
  3. Step 3: Cross multiply
    13,471.95x = 18,591.32 × 7,807.79
  4. Step 4: Simplify right side
    13,471.95x = 145,157,188.38
  5. Step 5: Solve for x
    x = 145,157,188.38/13,471.95
  6. Step 6: Final answer
    x = 10,774.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.