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Finding the Fourth Proportional to 11,984, 17,976.72 and 3,776

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Solution

The fourth proportional to 11,984, 17,976.72 and 3,776 is: 5,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984 : 17,976.72 = 3,776 : x
  2. Step 2: Convert to fraction form
    11,984/17,976.72 = 3,776/x
  3. Step 3: Cross multiply
    11,984x = 17,976.72 × 3,776
  4. Step 4: Simplify right side
    11,984x = 67,880,094.72
  5. Step 5: Solve for x
    x = 67,880,094.72/11,984
  6. Step 6: Final answer
    x = 5,664.23

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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.