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Finding the Fourth Proportional to 10,305.66, 14,221.74 and 5,589.94

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Solution

The fourth proportional to 10,305.66, 14,221.74 and 5,589.94 is: 7,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.66 : 14,221.74 = 5,589.94 : x
  2. Step 2: Convert to fraction form
    10,305.66/14,221.74 = 5,589.94/x
  3. Step 3: Cross multiply
    10,305.66x = 14,221.74 × 5,589.94
  4. Step 4: Simplify right side
    10,305.66x = 79,498,673.30
  5. Step 5: Solve for x
    x = 79,498,673.30/10,305.66
  6. Step 6: Final answer
    x = 7,714.08

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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.