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Finding the Fourth Proportional to 7,224.84, 10,832.40 and 4,456.80

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Solution

The fourth proportional to 7,224.84, 10,832.40 and 4,456.80 is: 6,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.84 : 10,832.40 = 4,456.80 : x
  2. Step 2: Convert to fraction form
    7,224.84/10,832.40 = 4,456.80/x
  3. Step 3: Cross multiply
    7,224.84x = 10,832.40 × 4,456.80
  4. Step 4: Simplify right side
    7,224.84x = 48,277,840.32
  5. Step 5: Solve for x
    x = 48,277,840.32/7,224.84
  6. Step 6: Final answer
    x = 6,682.20

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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.