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Finding the Fourth Proportional to 7,903.59, 11,847.15 and 3,221.57

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Solution

The fourth proportional to 7,903.59, 11,847.15 and 3,221.57 is: 4,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.59 : 11,847.15 = 3,221.57 : x
  2. Step 2: Convert to fraction form
    7,903.59/11,847.15 = 3,221.57/x
  3. Step 3: Cross multiply
    7,903.59x = 11,847.15 × 3,221.57
  4. Step 4: Simplify right side
    7,903.59x = 38,166,363.79
  5. Step 5: Solve for x
    x = 38,166,363.79/7,903.59
  6. Step 6: Final answer
    x = 4,828.99

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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.