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Finding the Fourth Proportional to 10,274.54, 14,188.44 and 7,561.97

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Solution

The fourth proportional to 10,274.54, 14,188.44 and 7,561.97 is: 10,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.54 : 14,188.44 = 7,561.97 : x
  2. Step 2: Convert to fraction form
    10,274.54/14,188.44 = 7,561.97/x
  3. Step 3: Cross multiply
    10,274.54x = 14,188.44 × 7,561.97
  4. Step 4: Simplify right side
    10,274.54x = 107,292,568.25
  5. Step 5: Solve for x
    x = 107,292,568.25/10,274.54
  6. Step 6: Final answer
    x = 10,442.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.