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Finding the Fourth Proportional to 10,066.57, 13,891.21 and 5,590.32

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Solution

The fourth proportional to 10,066.57, 13,891.21 and 5,590.32 is: 7,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.57 : 13,891.21 = 5,590.32 : x
  2. Step 2: Convert to fraction form
    10,066.57/13,891.21 = 5,590.32/x
  3. Step 3: Cross multiply
    10,066.57x = 13,891.21 × 5,590.32
  4. Step 4: Simplify right side
    10,066.57x = 77,656,309.09
  5. Step 5: Solve for x
    x = 77,656,309.09/10,066.57
  6. Step 6: Final answer
    x = 7,714.28

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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.