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Finding the Fourth Proportional to 8,050.64, 12,069.46 and 3,117.76

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Solution

The fourth proportional to 8,050.64, 12,069.46 and 3,117.76 is: 4,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.64 : 12,069.46 = 3,117.76 : x
  2. Step 2: Convert to fraction form
    8,050.64/12,069.46 = 3,117.76/x
  3. Step 3: Cross multiply
    8,050.64x = 12,069.46 × 3,117.76
  4. Step 4: Simplify right side
    8,050.64x = 37,629,679.61
  5. Step 5: Solve for x
    x = 37,629,679.61/8,050.64
  6. Step 6: Final answer
    x = 4,674.12

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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.