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Finding the Fourth Proportional to 8,030.95, 12,047.13 and 2,766.96

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Solution

The fourth proportional to 8,030.95, 12,047.13 and 2,766.96 is: 4,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.95 : 12,047.13 = 2,766.96 : x
  2. Step 2: Convert to fraction form
    8,030.95/12,047.13 = 2,766.96/x
  3. Step 3: Cross multiply
    8,030.95x = 12,047.13 × 2,766.96
  4. Step 4: Simplify right side
    8,030.95x = 33,333,926.82
  5. Step 5: Solve for x
    x = 33,333,926.82/8,030.95
  6. Step 6: Final answer
    x = 4,150.68

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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.