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Finding the Fourth Proportional to 10,092.64, 15,139.08 and 3,073.80

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Solution

The fourth proportional to 10,092.64, 15,139.08 and 3,073.80 is: 4,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.64 : 15,139.08 = 3,073.80 : x
  2. Step 2: Convert to fraction form
    10,092.64/15,139.08 = 3,073.80/x
  3. Step 3: Cross multiply
    10,092.64x = 15,139.08 × 3,073.80
  4. Step 4: Simplify right side
    10,092.64x = 46,534,504.10
  5. Step 5: Solve for x
    x = 46,534,504.10/10,092.64
  6. Step 6: Final answer
    x = 4,610.74

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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.