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Finding the Fourth Proportional to 10,367.26, 14,308.86 and 7,221.63

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Solution

The fourth proportional to 10,367.26, 14,308.86 and 7,221.63 is: 9,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.26 : 14,308.86 = 7,221.63 : x
  2. Step 2: Convert to fraction form
    10,367.26/14,308.86 = 7,221.63/x
  3. Step 3: Cross multiply
    10,367.26x = 14,308.86 × 7,221.63
  4. Step 4: Simplify right side
    10,367.26x = 103,333,292.64
  5. Step 5: Solve for x
    x = 103,333,292.64/10,367.26
  6. Step 6: Final answer
    x = 9,967.27

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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.