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Finding the Fourth Proportional to 11,090, 15,304.24 and 6,374.56

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Solution

The fourth proportional to 11,090, 15,304.24 and 6,374.56 is: 8,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090 : 15,304.24 = 6,374.56 : x
  2. Step 2: Convert to fraction form
    11,090/15,304.24 = 6,374.56/x
  3. Step 3: Cross multiply
    11,090x = 15,304.24 × 6,374.56
  4. Step 4: Simplify right side
    11,090x = 97,557,796.13
  5. Step 5: Solve for x
    x = 97,557,796.13/11,090
  6. Step 6: Final answer
    x = 8,796.92

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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.