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Finding the Fourth Proportional to 7,349.52, 10,138.76 and 4,204.88

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Solution

The fourth proportional to 7,349.52, 10,138.76 and 4,204.88 is: 5,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.52 : 10,138.76 = 4,204.88 : x
  2. Step 2: Convert to fraction form
    7,349.52/10,138.76 = 4,204.88/x
  3. Step 3: Cross multiply
    7,349.52x = 10,138.76 × 4,204.88
  4. Step 4: Simplify right side
    7,349.52x = 42,632,269.15
  5. Step 5: Solve for x
    x = 42,632,269.15/7,349.52
  6. Step 6: Final answer
    x = 5,800.69

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