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Finding the Fourth Proportional to 11,587.72, 17,384.28 and 6,327.76

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Solution

The fourth proportional to 11,587.72, 17,384.28 and 6,327.76 is: 9,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.72 : 17,384.28 = 6,327.76 : x
  2. Step 2: Convert to fraction form
    11,587.72/17,384.28 = 6,327.76/x
  3. Step 3: Cross multiply
    11,587.72x = 17,384.28 × 6,327.76
  4. Step 4: Simplify right side
    11,587.72x = 110,003,551.61
  5. Step 5: Solve for x
    x = 110,003,551.61/11,587.72
  6. Step 6: Final answer
    x = 9,493.11

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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.