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Finding the Fourth Proportional to 11,383.74, 17,077.77 and 6,458.94

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Solution

The fourth proportional to 11,383.74, 17,077.77 and 6,458.94 is: 9,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.74 : 17,077.77 = 6,458.94 : x
  2. Step 2: Convert to fraction form
    11,383.74/17,077.77 = 6,458.94/x
  3. Step 3: Cross multiply
    11,383.74x = 17,077.77 × 6,458.94
  4. Step 4: Simplify right side
    11,383.74x = 110,304,291.76
  5. Step 5: Solve for x
    x = 110,304,291.76/11,383.74
  6. Step 6: Final answer
    x = 9,689.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.