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Finding the Fourth Proportional to 11,723.00, 16,178.14 and 6,417.82

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Solution

The fourth proportional to 11,723.00, 16,178.14 and 6,417.82 is: 8,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.00 : 16,178.14 = 6,417.82 : x
  2. Step 2: Convert to fraction form
    11,723.00/16,178.14 = 6,417.82/x
  3. Step 3: Cross multiply
    11,723.00x = 16,178.14 × 6,417.82
  4. Step 4: Simplify right side
    11,723.00x = 103,828,418.70
  5. Step 5: Solve for x
    x = 103,828,418.70/11,723.00
  6. Step 6: Final answer
    x = 8,856.81

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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.