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Finding the Fourth Proportional to 10,820.99, 14,932.93 and 6,105.23

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Solution

The fourth proportional to 10,820.99, 14,932.93 and 6,105.23 is: 8,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.99 : 14,932.93 = 6,105.23 : x
  2. Step 2: Convert to fraction form
    10,820.99/14,932.93 = 6,105.23/x
  3. Step 3: Cross multiply
    10,820.99x = 14,932.93 × 6,105.23
  4. Step 4: Simplify right side
    10,820.99x = 91,168,972.22
  5. Step 5: Solve for x
    x = 91,168,972.22/10,820.99
  6. Step 6: Final answer
    x = 8,425.20

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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.