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Finding the Fourth Proportional to 7,784.31, 10,742.31 and 4,247.49

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Solution

The fourth proportional to 7,784.31, 10,742.31 and 4,247.49 is: 5,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.31 : 10,742.31 = 4,247.49 : x
  2. Step 2: Convert to fraction form
    7,784.31/10,742.31 = 4,247.49/x
  3. Step 3: Cross multiply
    7,784.31x = 10,742.31 × 4,247.49
  4. Step 4: Simplify right side
    7,784.31x = 45,627,854.30
  5. Step 5: Solve for x
    x = 45,627,854.30/7,784.31
  6. Step 6: Final answer
    x = 5,861.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.