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Finding the Fourth Proportional to 10,714.65, 14,786.69 and 5,999.01

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Solution

The fourth proportional to 10,714.65, 14,786.69 and 5,999.01 is: 8,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.65 : 14,786.69 = 5,999.01 : x
  2. Step 2: Convert to fraction form
    10,714.65/14,786.69 = 5,999.01/x
  3. Step 3: Cross multiply
    10,714.65x = 14,786.69 × 5,999.01
  4. Step 4: Simplify right side
    10,714.65x = 88,705,471.18
  5. Step 5: Solve for x
    x = 88,705,471.18/10,714.65
  6. Step 6: Final answer
    x = 8,278.90

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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.