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Finding the Fourth Proportional to 10,820.99, 14,932.94 and 6,105.24

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Solution

The fourth proportional to 10,820.99, 14,932.94 and 6,105.24 is: 8,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.99 : 14,932.94 = 6,105.24 : x
  2. Step 2: Convert to fraction form
    10,820.99/14,932.94 = 6,105.24/x
  3. Step 3: Cross multiply
    10,820.99x = 14,932.94 × 6,105.24
  4. Step 4: Simplify right side
    10,820.99x = 91,169,152.08
  5. Step 5: Solve for x
    x = 91,169,152.08/10,820.99
  6. Step 6: Final answer
    x = 8,425.22

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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.