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Finding the Fourth Proportional to 10,714.08, 14,786.40 and 5,934.48

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Solution

The fourth proportional to 10,714.08, 14,786.40 and 5,934.48 is: 8,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.08 : 14,786.40 = 5,934.48 : x
  2. Step 2: Convert to fraction form
    10,714.08/14,786.40 = 5,934.48/x
  3. Step 3: Cross multiply
    10,714.08x = 14,786.40 × 5,934.48
  4. Step 4: Simplify right side
    10,714.08x = 87,749,595.07
  5. Step 5: Solve for x
    x = 87,749,595.07/10,714.08
  6. Step 6: Final answer
    x = 8,190.12

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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.