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Finding the Fourth Proportional to 10,717.68, 16,081.14 and 5,786.34

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Solution

The fourth proportional to 10,717.68, 16,081.14 and 5,786.34 is: 8,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.68 : 16,081.14 = 5,786.34 : x
  2. Step 2: Convert to fraction form
    10,717.68/16,081.14 = 5,786.34/x
  3. Step 3: Cross multiply
    10,717.68x = 16,081.14 × 5,786.34
  4. Step 4: Simplify right side
    10,717.68x = 93,050,943.63
  5. Step 5: Solve for x
    x = 93,050,943.63/10,717.68
  6. Step 6: Final answer
    x = 8,682.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.