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Finding the Fourth Proportional to 10,169.61, 14,033.64 and 5,920.79

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Solution

The fourth proportional to 10,169.61, 14,033.64 and 5,920.79 is: 8,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.61 : 14,033.64 = 5,920.79 : x
  2. Step 2: Convert to fraction form
    10,169.61/14,033.64 = 5,920.79/x
  3. Step 3: Cross multiply
    10,169.61x = 14,033.64 × 5,920.79
  4. Step 4: Simplify right side
    10,169.61x = 83,090,240.04
  5. Step 5: Solve for x
    x = 83,090,240.04/10,169.61
  6. Step 6: Final answer
    x = 8,170.45

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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.