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Finding the Fourth Proportional to 7,478.38, 10,317.90 and 4,333.96

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Solution

The fourth proportional to 7,478.38, 10,317.90 and 4,333.96 is: 5,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.38 : 10,317.90 = 4,333.96 : x
  2. Step 2: Convert to fraction form
    7,478.38/10,317.90 = 4,333.96/x
  3. Step 3: Cross multiply
    7,478.38x = 10,317.90 × 4,333.96
  4. Step 4: Simplify right side
    7,478.38x = 44,717,365.88
  5. Step 5: Solve for x
    x = 44,717,365.88/7,478.38
  6. Step 6: Final answer
    x = 5,979.55

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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.