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Finding the Fourth Proportional to 7,308.38, 10,086.36 and 4,477.62

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Solution

The fourth proportional to 7,308.38, 10,086.36 and 4,477.62 is: 6,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.38 : 10,086.36 = 4,477.62 : x
  2. Step 2: Convert to fraction form
    7,308.38/10,086.36 = 4,477.62/x
  3. Step 3: Cross multiply
    7,308.38x = 10,086.36 × 4,477.62
  4. Step 4: Simplify right side
    7,308.38x = 45,162,887.26
  5. Step 5: Solve for x
    x = 45,162,887.26/7,308.38
  6. Step 6: Final answer
    x = 6,179.60

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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.