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Finding the Fourth Proportional to 10,624.14, 14,661.11 and 5,908.32

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Solution

The fourth proportional to 10,624.14, 14,661.11 and 5,908.32 is: 8,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.14 : 14,661.11 = 5,908.32 : x
  2. Step 2: Convert to fraction form
    10,624.14/14,661.11 = 5,908.32/x
  3. Step 3: Cross multiply
    10,624.14x = 14,661.11 × 5,908.32
  4. Step 4: Simplify right side
    10,624.14x = 86,622,499.89
  5. Step 5: Solve for x
    x = 86,622,499.89/10,624.14
  6. Step 6: Final answer
    x = 8,153.37

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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.