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Finding the Fourth Proportional to 10,340.72, 14,267.94 and 5,863.46

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Solution

The fourth proportional to 10,340.72, 14,267.94 and 5,863.46 is: 8,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.72 : 14,267.94 = 5,863.46 : x
  2. Step 2: Convert to fraction form
    10,340.72/14,267.94 = 5,863.46/x
  3. Step 3: Cross multiply
    10,340.72x = 14,267.94 × 5,863.46
  4. Step 4: Simplify right side
    10,340.72x = 83,659,495.47
  5. Step 5: Solve for x
    x = 83,659,495.47/10,340.72
  6. Step 6: Final answer
    x = 8,090.30

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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.