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Finding the Fourth Proportional to 7,832.55, 11,748.27 and 3,673.47

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Solution

The fourth proportional to 7,832.55, 11,748.27 and 3,673.47 is: 5,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.55 : 11,748.27 = 3,673.47 : x
  2. Step 2: Convert to fraction form
    7,832.55/11,748.27 = 3,673.47/x
  3. Step 3: Cross multiply
    7,832.55x = 11,748.27 × 3,673.47
  4. Step 4: Simplify right side
    7,832.55x = 43,156,858.66
  5. Step 5: Solve for x
    x = 43,156,858.66/7,832.55
  6. Step 6: Final answer
    x = 5,509.94

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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.