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Finding the Fourth Proportional to 7,311.87, 10,090.34 and 3,954.66

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Solution

The fourth proportional to 7,311.87, 10,090.34 and 3,954.66 is: 5,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.87 : 10,090.34 = 3,954.66 : x
  2. Step 2: Convert to fraction form
    7,311.87/10,090.34 = 3,954.66/x
  3. Step 3: Cross multiply
    7,311.87x = 10,090.34 × 3,954.66
  4. Step 4: Simplify right side
    7,311.87x = 39,903,821.20
  5. Step 5: Solve for x
    x = 39,903,821.20/7,311.87
  6. Step 6: Final answer
    x = 5,457.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.