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Finding the Fourth Proportional to 10,377.69, 14,321.04 and 5,901.34

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Solution

The fourth proportional to 10,377.69, 14,321.04 and 5,901.34 is: 8,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.69 : 14,321.04 = 5,901.34 : x
  2. Step 2: Convert to fraction form
    10,377.69/14,321.04 = 5,901.34/x
  3. Step 3: Cross multiply
    10,377.69x = 14,321.04 × 5,901.34
  4. Step 4: Simplify right side
    10,377.69x = 84,513,326.19
  5. Step 5: Solve for x
    x = 84,513,326.19/10,377.69
  6. Step 6: Final answer
    x = 8,143.75

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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.