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Finding the Fourth Proportional to 7,162.89, 10,748.66 and 2,784.03

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Solution

The fourth proportional to 7,162.89, 10,748.66 and 2,784.03 is: 4,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.89 : 10,748.66 = 2,784.03 : x
  2. Step 2: Convert to fraction form
    7,162.89/10,748.66 = 2,784.03/x
  3. Step 3: Cross multiply
    7,162.89x = 10,748.66 × 2,784.03
  4. Step 4: Simplify right side
    7,162.89x = 29,924,577.98
  5. Step 5: Solve for x
    x = 29,924,577.98/7,162.89
  6. Step 6: Final answer
    x = 4,177.72

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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.