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Finding the Fourth Proportional to 8,336.38, 11,504.28 and 4,559.47

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Solution

The fourth proportional to 8,336.38, 11,504.28 and 4,559.47 is: 6,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.38 : 11,504.28 = 4,559.47 : x
  2. Step 2: Convert to fraction form
    8,336.38/11,504.28 = 4,559.47/x
  3. Step 3: Cross multiply
    8,336.38x = 11,504.28 × 4,559.47
  4. Step 4: Simplify right side
    8,336.38x = 52,453,419.53
  5. Step 5: Solve for x
    x = 52,453,419.53/8,336.38
  6. Step 6: Final answer
    x = 6,292.11

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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.