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Finding the Fourth Proportional to 7,684.12, 10,591.34 and 5,443.12

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Solution

The fourth proportional to 7,684.12, 10,591.34 and 5,443.12 is: 7,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.12 : 10,591.34 = 5,443.12 : x
  2. Step 2: Convert to fraction form
    7,684.12/10,591.34 = 5,443.12/x
  3. Step 3: Cross multiply
    7,684.12x = 10,591.34 × 5,443.12
  4. Step 4: Simplify right side
    7,684.12x = 57,649,941.02
  5. Step 5: Solve for x
    x = 57,649,941.02/7,684.12
  6. Step 6: Final answer
    x = 7,502.48

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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.