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Finding the Fourth Proportional to 7,224.34, 10,838.92 and 4,884.24

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Solution

The fourth proportional to 7,224.34, 10,838.92 and 4,884.24 is: 7,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.34 : 10,838.92 = 4,884.24 : x
  2. Step 2: Convert to fraction form
    7,224.34/10,838.92 = 4,884.24/x
  3. Step 3: Cross multiply
    7,224.34x = 10,838.92 × 4,884.24
  4. Step 4: Simplify right side
    7,224.34x = 52,939,886.62
  5. Step 5: Solve for x
    x = 52,939,886.62/7,224.34
  6. Step 6: Final answer
    x = 7,327.99

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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.