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Finding the Fourth Proportional to 10,632.65, 14,672.81 and 5,917.37

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Solution

The fourth proportional to 10,632.65, 14,672.81 and 5,917.37 is: 8,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.65 : 14,672.81 = 5,917.37 : x
  2. Step 2: Convert to fraction form
    10,632.65/14,672.81 = 5,917.37/x
  3. Step 3: Cross multiply
    10,632.65x = 14,672.81 × 5,917.37
  4. Step 4: Simplify right side
    10,632.65x = 86,824,387.14
  5. Step 5: Solve for x
    x = 86,824,387.14/10,632.65
  6. Step 6: Final answer
    x = 8,165.83

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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.