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Finding the Fourth Proportional to 7,682.98, 10,598.62 and 4,494.19

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Solution

The fourth proportional to 7,682.98, 10,598.62 and 4,494.19 is: 6,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.98 : 10,598.62 = 4,494.19 : x
  2. Step 2: Convert to fraction form
    7,682.98/10,598.62 = 4,494.19/x
  3. Step 3: Cross multiply
    7,682.98x = 10,598.62 × 4,494.19
  4. Step 4: Simplify right side
    7,682.98x = 47,632,136.55
  5. Step 5: Solve for x
    x = 47,632,136.55/7,682.98
  6. Step 6: Final answer
    x = 6,199.70

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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.