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Finding the Fourth Proportional to 7,421.50, 10,241.67 and 4,109.50

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Solution

The fourth proportional to 7,421.50, 10,241.67 and 4,109.50 is: 5,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.50 : 10,241.67 = 4,109.50 : x
  2. Step 2: Convert to fraction form
    7,421.50/10,241.67 = 4,109.50/x
  3. Step 3: Cross multiply
    7,421.50x = 10,241.67 × 4,109.50
  4. Step 4: Simplify right side
    7,421.50x = 42,088,142.87
  5. Step 5: Solve for x
    x = 42,088,142.87/7,421.50
  6. Step 6: Final answer
    x = 5,671.11

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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.