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Finding the Fourth Proportional to 7,473.76, 10,314.34 and 5,349.48

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Solution

The fourth proportional to 7,473.76, 10,314.34 and 5,349.48 is: 7,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.76 : 10,314.34 = 5,349.48 : x
  2. Step 2: Convert to fraction form
    7,473.76/10,314.34 = 5,349.48/x
  3. Step 3: Cross multiply
    7,473.76x = 10,314.34 × 5,349.48
  4. Step 4: Simplify right side
    7,473.76x = 55,176,355.54
  5. Step 5: Solve for x
    x = 55,176,355.54/7,473.76
  6. Step 6: Final answer
    x = 7,382.68

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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.