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Finding the Fourth Proportional to 11,849.57, 16,352.49 and 6,471.87

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Solution

The fourth proportional to 11,849.57, 16,352.49 and 6,471.87 is: 8,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.57 : 16,352.49 = 6,471.87 : x
  2. Step 2: Convert to fraction form
    11,849.57/16,352.49 = 6,471.87/x
  3. Step 3: Cross multiply
    11,849.57x = 16,352.49 × 6,471.87
  4. Step 4: Simplify right side
    11,849.57x = 105,831,189.46
  5. Step 5: Solve for x
    x = 105,831,189.46/11,849.57
  6. Step 6: Final answer
    x = 8,931.23

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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.