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Finding the Fourth Proportional to 10,367.93, 14,309.06 and 7,722.87

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Solution

The fourth proportional to 10,367.93, 14,309.06 and 7,722.87 is: 10,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.93 : 14,309.06 = 7,722.87 : x
  2. Step 2: Convert to fraction form
    10,367.93/14,309.06 = 7,722.87/x
  3. Step 3: Cross multiply
    10,367.93x = 14,309.06 × 7,722.87
  4. Step 4: Simplify right side
    10,367.93x = 110,507,010.20
  5. Step 5: Solve for x
    x = 110,507,010.20/10,367.93
  6. Step 6: Final answer
    x = 10,658.54

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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.