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Finding the Fourth Proportional to 7,427, 11,140.50 and 2,232.88

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Solution

The fourth proportional to 7,427, 11,140.50 and 2,232.88 is: 3,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 11,140.50 = 2,232.88 : x
  2. Step 2: Convert to fraction form
    7,427/11,140.50 = 2,232.88/x
  3. Step 3: Cross multiply
    7,427x = 11,140.50 × 2,232.88
  4. Step 4: Simplify right side
    7,427x = 24,875,399.64
  5. Step 5: Solve for x
    x = 24,875,399.64/7,427
  6. Step 6: Final answer
    x = 3,349.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.