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Finding the Fourth Proportional to 10,820.67, 16,232.80 and 3,798.86

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Solution

The fourth proportional to 10,820.67, 16,232.80 and 3,798.86 is: 5,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.67 : 16,232.80 = 3,798.86 : x
  2. Step 2: Convert to fraction form
    10,820.67/16,232.80 = 3,798.86/x
  3. Step 3: Cross multiply
    10,820.67x = 16,232.80 × 3,798.86
  4. Step 4: Simplify right side
    10,820.67x = 61,666,134.61
  5. Step 5: Solve for x
    x = 61,666,134.61/10,820.67
  6. Step 6: Final answer
    x = 5,698.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.