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Finding the Fourth Proportional to 10,092.63, 15,137.19 and 3,070.95

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Solution

The fourth proportional to 10,092.63, 15,137.19 and 3,070.95 is: 4,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.63 : 15,137.19 = 3,070.95 : x
  2. Step 2: Convert to fraction form
    10,092.63/15,137.19 = 3,070.95/x
  3. Step 3: Cross multiply
    10,092.63x = 15,137.19 × 3,070.95
  4. Step 4: Simplify right side
    10,092.63x = 46,485,496.87
  5. Step 5: Solve for x
    x = 46,485,496.87/10,092.63
  6. Step 6: Final answer
    x = 4,605.88

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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.