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Finding the Fourth Proportional to 11,781.76, 17,670.56 and 4,384.48

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Solution

The fourth proportional to 11,781.76, 17,670.56 and 4,384.48 is: 6,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.76 : 17,670.56 = 4,384.48 : x
  2. Step 2: Convert to fraction form
    11,781.76/17,670.56 = 4,384.48/x
  3. Step 3: Cross multiply
    11,781.76x = 17,670.56 × 4,384.48
  4. Step 4: Simplify right side
    11,781.76x = 77,476,216.91
  5. Step 5: Solve for x
    x = 77,476,216.91/11,781.76
  6. Step 6: Final answer
    x = 6,575.95

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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.