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Finding the Fourth Proportional to 7,241.19, 10,861.64 and 4,863.84

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Solution

The fourth proportional to 7,241.19, 10,861.64 and 4,863.84 is: 7,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.19 : 10,861.64 = 4,863.84 : x
  2. Step 2: Convert to fraction form
    7,241.19/10,861.64 = 4,863.84/x
  3. Step 3: Cross multiply
    7,241.19x = 10,861.64 × 4,863.84
  4. Step 4: Simplify right side
    7,241.19x = 52,829,279.10
  5. Step 5: Solve for x
    x = 52,829,279.10/7,241.19
  6. Step 6: Final answer
    x = 7,295.66

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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.