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Finding the Fourth Proportional to 10,066.80, 13,892.31 and 5,590.83

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Solution

The fourth proportional to 10,066.80, 13,892.31 and 5,590.83 is: 7,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.80 : 13,892.31 = 5,590.83 : x
  2. Step 2: Convert to fraction form
    10,066.80/13,892.31 = 5,590.83/x
  3. Step 3: Cross multiply
    10,066.80x = 13,892.31 × 5,590.83
  4. Step 4: Simplify right side
    10,066.80x = 77,669,543.52
  5. Step 5: Solve for x
    x = 77,669,543.52/10,066.80
  6. Step 6: Final answer
    x = 7,715.42

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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.