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Finding the Fourth Proportional to 7,690.98, 10,613.46 and 4,334.14

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Solution

The fourth proportional to 7,690.98, 10,613.46 and 4,334.14 is: 5,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.98 : 10,613.46 = 4,334.14 : x
  2. Step 2: Convert to fraction form
    7,690.98/10,613.46 = 4,334.14/x
  3. Step 3: Cross multiply
    7,690.98x = 10,613.46 × 4,334.14
  4. Step 4: Simplify right side
    7,690.98x = 46,000,221.52
  5. Step 5: Solve for x
    x = 46,000,221.52/7,690.98
  6. Step 6: Final answer
    x = 5,981.06

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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.