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Finding the Fourth Proportional to 10,037.71, 13,849.71 and 6,003.75

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Solution

The fourth proportional to 10,037.71, 13,849.71 and 6,003.75 is: 8,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.71 : 13,849.71 = 6,003.75 : x
  2. Step 2: Convert to fraction form
    10,037.71/13,849.71 = 6,003.75/x
  3. Step 3: Cross multiply
    10,037.71x = 13,849.71 × 6,003.75
  4. Step 4: Simplify right side
    10,037.71x = 83,150,225.83
  5. Step 5: Solve for x
    x = 83,150,225.83/10,037.71
  6. Step 6: Final answer
    x = 8,283.78

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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.