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Finding the Fourth Proportional to 7,690.88, 10,613.42 and 4,154.09

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Solution

The fourth proportional to 7,690.88, 10,613.42 and 4,154.09 is: 5,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.88 : 10,613.42 = 4,154.09 : x
  2. Step 2: Convert to fraction form
    7,690.88/10,613.42 = 4,154.09/x
  3. Step 3: Cross multiply
    7,690.88x = 10,613.42 × 4,154.09
  4. Step 4: Simplify right side
    7,690.88x = 44,089,101.89
  5. Step 5: Solve for x
    x = 44,089,101.89/7,690.88
  6. Step 6: Final answer
    x = 5,732.65

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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.