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Finding the Fourth Proportional to 10,153.56, 14,011.97 and 5,907.14

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Solution

The fourth proportional to 10,153.56, 14,011.97 and 5,907.14 is: 8,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.56 : 14,011.97 = 5,907.14 : x
  2. Step 2: Convert to fraction form
    10,153.56/14,011.97 = 5,907.14/x
  3. Step 3: Cross multiply
    10,153.56x = 14,011.97 × 5,907.14
  4. Step 4: Simplify right side
    10,153.56x = 82,770,568.87
  5. Step 5: Solve for x
    x = 82,770,568.87/10,153.56
  6. Step 6: Final answer
    x = 8,151.88

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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.