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Finding the Fourth Proportional to 7,263.86, 10,024.11 and 4,120.04

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Solution

The fourth proportional to 7,263.86, 10,024.11 and 4,120.04 is: 5,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.86 : 10,024.11 = 4,120.04 : x
  2. Step 2: Convert to fraction form
    7,263.86/10,024.11 = 4,120.04/x
  3. Step 3: Cross multiply
    7,263.86x = 10,024.11 × 4,120.04
  4. Step 4: Simplify right side
    7,263.86x = 41,299,759.22
  5. Step 5: Solve for x
    x = 41,299,759.22/7,263.86
  6. Step 6: Final answer
    x = 5,685.65

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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.