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Finding the Fourth Proportional to 8,090, 12,128.48 and 3,476.24

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Solution

The fourth proportional to 8,090, 12,128.48 and 3,476.24 is: 5,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090 : 12,128.48 = 3,476.24 : x
  2. Step 2: Convert to fraction form
    8,090/12,128.48 = 3,476.24/x
  3. Step 3: Cross multiply
    8,090x = 12,128.48 × 3,476.24
  4. Step 4: Simplify right side
    8,090x = 42,161,507.32
  5. Step 5: Solve for x
    x = 42,161,507.32/8,090
  6. Step 6: Final answer
    x = 5,211.56

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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.