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Finding the Fourth Proportional to 10,066.85, 13,891.77 and 5,590.88

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Solution

The fourth proportional to 10,066.85, 13,891.77 and 5,590.88 is: 7,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.85 : 13,891.77 = 5,590.88 : x
  2. Step 2: Convert to fraction form
    10,066.85/13,891.77 = 5,590.88/x
  3. Step 3: Cross multiply
    10,066.85x = 13,891.77 × 5,590.88
  4. Step 4: Simplify right side
    10,066.85x = 77,667,149.60
  5. Step 5: Solve for x
    x = 77,667,149.60/10,066.85
  6. Step 6: Final answer
    x = 7,715.14

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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.