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Finding the Fourth Proportional to 10,037.37, 13,853.03 and 6,059.06

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Solution

The fourth proportional to 10,037.37, 13,853.03 and 6,059.06 is: 8,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.37 : 13,853.03 = 6,059.06 : x
  2. Step 2: Convert to fraction form
    10,037.37/13,853.03 = 6,059.06/x
  3. Step 3: Cross multiply
    10,037.37x = 13,853.03 × 6,059.06
  4. Step 4: Simplify right side
    10,037.37x = 83,936,240.39
  5. Step 5: Solve for x
    x = 83,936,240.39/10,037.37
  6. Step 6: Final answer
    x = 8,362.37

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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.