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Finding the Fourth Proportional to 10,150.12, 14,007.06 and 5,957.56

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Solution

The fourth proportional to 10,150.12, 14,007.06 and 5,957.56 is: 8,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.12 : 14,007.06 = 5,957.56 : x
  2. Step 2: Convert to fraction form
    10,150.12/14,007.06 = 5,957.56/x
  3. Step 3: Cross multiply
    10,150.12x = 14,007.06 × 5,957.56
  4. Step 4: Simplify right side
    10,150.12x = 83,447,900.37
  5. Step 5: Solve for x
    x = 83,447,900.37/10,150.12
  6. Step 6: Final answer
    x = 8,221.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.