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Finding the Fourth Proportional to 10,714.71, 14,786.96 and 5,934.70

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Solution

The fourth proportional to 10,714.71, 14,786.96 and 5,934.70 is: 8,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.71 : 14,786.96 = 5,934.70 : x
  2. Step 2: Convert to fraction form
    10,714.71/14,786.96 = 5,934.70/x
  3. Step 3: Cross multiply
    10,714.71x = 14,786.96 × 5,934.70
  4. Step 4: Simplify right side
    10,714.71x = 87,756,160.32
  5. Step 5: Solve for x
    x = 87,756,160.32/10,714.71
  6. Step 6: Final answer
    x = 8,190.25

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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.