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Finding the Fourth Proportional to 6,090.24, 8,403.84 and 5,157.12

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Solution

The fourth proportional to 6,090.24, 8,403.84 and 5,157.12 is: 7,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.24 : 8,403.84 = 5,157.12 : x
  2. Step 2: Convert to fraction form
    6,090.24/8,403.84 = 5,157.12/x
  3. Step 3: Cross multiply
    6,090.24x = 8,403.84 × 5,157.12
  4. Step 4: Simplify right side
    6,090.24x = 43,339,611.34
  5. Step 5: Solve for x
    x = 43,339,611.34/6,090.24
  6. Step 6: Final answer
    x = 7,116.24

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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.