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Finding the Fourth Proportional to 7,534.08, 10,396.96 and 4,222.08

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Solution

The fourth proportional to 7,534.08, 10,396.96 and 4,222.08 is: 5,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.08 : 10,396.96 = 4,222.08 : x
  2. Step 2: Convert to fraction form
    7,534.08/10,396.96 = 4,222.08/x
  3. Step 3: Cross multiply
    7,534.08x = 10,396.96 × 4,222.08
  4. Step 4: Simplify right side
    7,534.08x = 43,896,796.88
  5. Step 5: Solve for x
    x = 43,896,796.88/7,534.08
  6. Step 6: Final answer
    x = 5,826.43

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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.