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Finding the Fourth Proportional to 11,715.70, 16,167.45 and 6,410.40

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Solution

The fourth proportional to 11,715.70, 16,167.45 and 6,410.40 is: 8,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.70 : 16,167.45 = 6,410.40 : x
  2. Step 2: Convert to fraction form
    11,715.70/16,167.45 = 6,410.40/x
  3. Step 3: Cross multiply
    11,715.70x = 16,167.45 × 6,410.40
  4. Step 4: Simplify right side
    11,715.70x = 103,639,821.48
  5. Step 5: Solve for x
    x = 103,639,821.48/11,715.70
  6. Step 6: Final answer
    x = 8,846.23

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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.