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Finding the Fourth Proportional to 10,309.86, 14,227.62 and 5,594.22

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Solution

The fourth proportional to 10,309.86, 14,227.62 and 5,594.22 is: 7,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.86 : 14,227.62 = 5,594.22 : x
  2. Step 2: Convert to fraction form
    10,309.86/14,227.62 = 5,594.22/x
  3. Step 3: Cross multiply
    10,309.86x = 14,227.62 × 5,594.22
  4. Step 4: Simplify right side
    10,309.86x = 79,592,436.36
  5. Step 5: Solve for x
    x = 79,592,436.36/10,309.86
  6. Step 6: Final answer
    x = 7,720.03

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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.