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Finding the Fourth Proportional to 7,388.53, 10,190.96 and 4,402.06

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Solution

The fourth proportional to 7,388.53, 10,190.96 and 4,402.06 is: 6,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.53 : 10,190.96 = 4,402.06 : x
  2. Step 2: Convert to fraction form
    7,388.53/10,190.96 = 4,402.06/x
  3. Step 3: Cross multiply
    7,388.53x = 10,190.96 × 4,402.06
  4. Step 4: Simplify right side
    7,388.53x = 44,861,217.38
  5. Step 5: Solve for x
    x = 44,861,217.38/7,388.53
  6. Step 6: Final answer
    x = 6,071.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.