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Finding the Fourth Proportional to 10,090.50, 13,921.83 and 5,841.65

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Solution

The fourth proportional to 10,090.50, 13,921.83 and 5,841.65 is: 8,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.50 : 13,921.83 = 5,841.65 : x
  2. Step 2: Convert to fraction form
    10,090.50/13,921.83 = 5,841.65/x
  3. Step 3: Cross multiply
    10,090.50x = 13,921.83 × 5,841.65
  4. Step 4: Simplify right side
    10,090.50x = 81,326,388.61
  5. Step 5: Solve for x
    x = 81,326,388.61/10,090.50
  6. Step 6: Final answer
    x = 8,059.70

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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.