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Finding the Fourth Proportional to 10,073.64, 13,900.38 and 6,096.60

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Solution

The fourth proportional to 10,073.64, 13,900.38 and 6,096.60 is: 8,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.64 : 13,900.38 = 6,096.60 : x
  2. Step 2: Convert to fraction form
    10,073.64/13,900.38 = 6,096.60/x
  3. Step 3: Cross multiply
    10,073.64x = 13,900.38 × 6,096.60
  4. Step 4: Simplify right side
    10,073.64x = 84,745,056.71
  5. Step 5: Solve for x
    x = 84,745,056.71/10,073.64
  6. Step 6: Final answer
    x = 8,412.56

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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.