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Finding the Fourth Proportional to 10,305.77, 14,221.97 and 5,590.05

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Solution

The fourth proportional to 10,305.77, 14,221.97 and 5,590.05 is: 7,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.77 : 14,221.97 = 5,590.05 : x
  2. Step 2: Convert to fraction form
    10,305.77/14,221.97 = 5,590.05/x
  3. Step 3: Cross multiply
    10,305.77x = 14,221.97 × 5,590.05
  4. Step 4: Simplify right side
    10,305.77x = 79,501,523.40
  5. Step 5: Solve for x
    x = 79,501,523.40/10,305.77
  6. Step 6: Final answer
    x = 7,714.27

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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.