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Finding the Fourth Proportional to 7,784.57, 11,679.19 and 3,627.05

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Solution

The fourth proportional to 7,784.57, 11,679.19 and 3,627.05 is: 5,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.57 : 11,679.19 = 3,627.05 : x
  2. Step 2: Convert to fraction form
    7,784.57/11,679.19 = 3,627.05/x
  3. Step 3: Cross multiply
    7,784.57x = 11,679.19 × 3,627.05
  4. Step 4: Simplify right side
    7,784.57x = 42,360,938.63
  5. Step 5: Solve for x
    x = 42,360,938.63/7,784.57
  6. Step 6: Final answer
    x = 5,441.66

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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.