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Finding the Fourth Proportional to 10,786.14, 14,881.97 and 6,311.00

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Solution

The fourth proportional to 10,786.14, 14,881.97 and 6,311.00 is: 8,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.14 : 14,881.97 = 6,311.00 : x
  2. Step 2: Convert to fraction form
    10,786.14/14,881.97 = 6,311.00/x
  3. Step 3: Cross multiply
    10,786.14x = 14,881.97 × 6,311.00
  4. Step 4: Simplify right side
    10,786.14x = 93,920,006.71
  5. Step 5: Solve for x
    x = 93,920,006.71/10,786.14
  6. Step 6: Final answer
    x = 8,707.47

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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.