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Finding the Fourth Proportional to 11,715.33, 16,167.15 and 6,410.15

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Solution

The fourth proportional to 11,715.33, 16,167.15 and 6,410.15 is: 8,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.33 : 16,167.15 = 6,410.15 : x
  2. Step 2: Convert to fraction form
    11,715.33/16,167.15 = 6,410.15/x
  3. Step 3: Cross multiply
    11,715.33x = 16,167.15 × 6,410.15
  4. Step 4: Simplify right side
    11,715.33x = 103,633,775.74
  5. Step 5: Solve for x
    x = 103,633,775.74/11,715.33
  6. Step 6: Final answer
    x = 8,846.00

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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.