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Finding the Fourth Proportional to 10,142.93, 15,213.44 and 7,194.02

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Solution

The fourth proportional to 10,142.93, 15,213.44 and 7,194.02 is: 10,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.93 : 15,213.44 = 7,194.02 : x
  2. Step 2: Convert to fraction form
    10,142.93/15,213.44 = 7,194.02/x
  3. Step 3: Cross multiply
    10,142.93x = 15,213.44 × 7,194.02
  4. Step 4: Simplify right side
    10,142.93x = 109,445,733.55
  5. Step 5: Solve for x
    x = 109,445,733.55/10,142.93
  6. Step 6: Final answer
    x = 10,790.34

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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.