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Finding the Fourth Proportional to 10,090.77, 13,927.29 and 5,841.24

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Solution

The fourth proportional to 10,090.77, 13,927.29 and 5,841.24 is: 8,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.77 : 13,927.29 = 5,841.24 : x
  2. Step 2: Convert to fraction form
    10,090.77/13,927.29 = 5,841.24/x
  3. Step 3: Cross multiply
    10,090.77x = 13,927.29 × 5,841.24
  4. Step 4: Simplify right side
    10,090.77x = 81,352,643.44
  5. Step 5: Solve for x
    x = 81,352,643.44/10,090.77
  6. Step 6: Final answer
    x = 8,062.08

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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.