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Finding the Fourth Proportional to 10,367.34, 14,306.98 and 5,891.34

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Solution

The fourth proportional to 10,367.34, 14,306.98 and 5,891.34 is: 8,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.34 : 14,306.98 = 5,891.34 : x
  2. Step 2: Convert to fraction form
    10,367.34/14,306.98 = 5,891.34/x
  3. Step 3: Cross multiply
    10,367.34x = 14,306.98 × 5,891.34
  4. Step 4: Simplify right side
    10,367.34x = 84,287,212.02
  5. Step 5: Solve for x
    x = 84,287,212.02/10,367.34
  6. Step 6: Final answer
    x = 8,130.07

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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.