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Finding the Fourth Proportional to 8,021.58, 12,030.48 and 2,178.24

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Solution

The fourth proportional to 8,021.58, 12,030.48 and 2,178.24 is: 3,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.58 : 12,030.48 = 2,178.24 : x
  2. Step 2: Convert to fraction form
    8,021.58/12,030.48 = 2,178.24/x
  3. Step 3: Cross multiply
    8,021.58x = 12,030.48 × 2,178.24
  4. Step 4: Simplify right side
    8,021.58x = 26,205,272.76
  5. Step 5: Solve for x
    x = 26,205,272.76/8,021.58
  6. Step 6: Final answer
    x = 3,266.85

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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.