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Finding the Fourth Proportional to 12,090, 18,135.84 and 5,062.92

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Solution

The fourth proportional to 12,090, 18,135.84 and 5,062.92 is: 7,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090 : 18,135.84 = 5,062.92 : x
  2. Step 2: Convert to fraction form
    12,090/18,135.84 = 5,062.92/x
  3. Step 3: Cross multiply
    12,090x = 18,135.84 × 5,062.92
  4. Step 4: Simplify right side
    12,090x = 91,820,307.05
  5. Step 5: Solve for x
    x = 91,820,307.05/12,090
  6. Step 6: Final answer
    x = 7,594.73

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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.