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Finding the Fourth Proportional to 10,714.80, 16,066.05 and 6,335.33

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Solution

The fourth proportional to 10,714.80, 16,066.05 and 6,335.33 is: 9,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.80 : 16,066.05 = 6,335.33 : x
  2. Step 2: Convert to fraction form
    10,714.80/16,066.05 = 6,335.33/x
  3. Step 3: Cross multiply
    10,714.80x = 16,066.05 × 6,335.33
  4. Step 4: Simplify right side
    10,714.80x = 101,783,714.83
  5. Step 5: Solve for x
    x = 101,783,714.83/10,714.80
  6. Step 6: Final answer
    x = 9,499.36

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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.