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Finding the Fourth Proportional to 10,820.33, 14,932.11 and 6,040.72

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Solution

The fourth proportional to 10,820.33, 14,932.11 and 6,040.72 is: 8,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.33 : 14,932.11 = 6,040.72 : x
  2. Step 2: Convert to fraction form
    10,820.33/14,932.11 = 6,040.72/x
  3. Step 3: Cross multiply
    10,820.33x = 14,932.11 × 6,040.72
  4. Step 4: Simplify right side
    10,820.33x = 90,200,695.52
  5. Step 5: Solve for x
    x = 90,200,695.52/10,820.33
  6. Step 6: Final answer
    x = 8,336.22

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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.