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Finding the Fourth Proportional to 7,832.34, 11,748.20 and 2,567.74

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Solution

The fourth proportional to 7,832.34, 11,748.20 and 2,567.74 is: 3,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.34 : 11,748.20 = 2,567.74 : x
  2. Step 2: Convert to fraction form
    7,832.34/11,748.20 = 2,567.74/x
  3. Step 3: Cross multiply
    7,832.34x = 11,748.20 × 2,567.74
  4. Step 4: Simplify right side
    7,832.34x = 30,166,323.07
  5. Step 5: Solve for x
    x = 30,166,323.07/7,832.34
  6. Step 6: Final answer
    x = 3,851.51

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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.