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Finding the Fourth Proportional to 7,900.02, 11,825.19 and 5,420.34

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Solution

The fourth proportional to 7,900.02, 11,825.19 and 5,420.34 is: 8,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.02 : 11,825.19 = 5,420.34 : x
  2. Step 2: Convert to fraction form
    7,900.02/11,825.19 = 5,420.34/x
  3. Step 3: Cross multiply
    7,900.02x = 11,825.19 × 5,420.34
  4. Step 4: Simplify right side
    7,900.02x = 64,096,550.36
  5. Step 5: Solve for x
    x = 64,096,550.36/7,900.02
  6. Step 6: Final answer
    x = 8,113.47

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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.