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Finding the Fourth Proportional to 11,715.94, 16,168.34 and 6,411.11

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Solution

The fourth proportional to 11,715.94, 16,168.34 and 6,411.11 is: 8,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.94 : 16,168.34 = 6,411.11 : x
  2. Step 2: Convert to fraction form
    11,715.94/16,168.34 = 6,411.11/x
  3. Step 3: Cross multiply
    11,715.94x = 16,168.34 × 6,411.11
  4. Step 4: Simplify right side
    11,715.94x = 103,657,062.71
  5. Step 5: Solve for x
    x = 103,657,062.71/11,715.94
  6. Step 6: Final answer
    x = 8,847.53

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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.