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Finding the Fourth Proportional to 10,036.37, 13,846.62 and 6,000.39

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Solution

The fourth proportional to 10,036.37, 13,846.62 and 6,000.39 is: 8,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.37 : 13,846.62 = 6,000.39 : x
  2. Step 2: Convert to fraction form
    10,036.37/13,846.62 = 6,000.39/x
  3. Step 3: Cross multiply
    10,036.37x = 13,846.62 × 6,000.39
  4. Step 4: Simplify right side
    10,036.37x = 83,085,120.18
  5. Step 5: Solve for x
    x = 83,085,120.18/10,036.37
  6. Step 6: Final answer
    x = 8,278.40

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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.