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Finding the Fourth Proportional to 10,065.67, 13,892.31 and 5,590.89

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Solution

The fourth proportional to 10,065.67, 13,892.31 and 5,590.89 is: 7,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.67 : 13,892.31 = 5,590.89 : x
  2. Step 2: Convert to fraction form
    10,065.67/13,892.31 = 5,590.89/x
  3. Step 3: Cross multiply
    10,065.67x = 13,892.31 × 5,590.89
  4. Step 4: Simplify right side
    10,065.67x = 77,670,377.06
  5. Step 5: Solve for x
    x = 77,670,377.06/10,065.67
  6. Step 6: Final answer
    x = 7,716.37

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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.