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Finding the Fourth Proportional to 10,367.36, 14,301 and 6,387.68

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Solution

The fourth proportional to 10,367.36, 14,301 and 6,387.68 is: 8,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.36 : 14,301 = 6,387.68 : x
  2. Step 2: Convert to fraction form
    10,367.36/14,301 = 6,387.68/x
  3. Step 3: Cross multiply
    10,367.36x = 14,301 × 6,387.68
  4. Step 4: Simplify right side
    10,367.36x = 91,350,211.68
  5. Step 5: Solve for x
    x = 91,350,211.68/10,367.36
  6. Step 6: Final answer
    x = 8,811.33

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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.