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Finding the Fourth Proportional to 10,436.78, 15,634.28 and 6,274.54

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Solution

The fourth proportional to 10,436.78, 15,634.28 and 6,274.54 is: 9,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.78 : 15,634.28 = 6,274.54 : x
  2. Step 2: Convert to fraction form
    10,436.78/15,634.28 = 6,274.54/x
  3. Step 3: Cross multiply
    10,436.78x = 15,634.28 × 6,274.54
  4. Step 4: Simplify right side
    10,436.78x = 98,097,915.23
  5. Step 5: Solve for x
    x = 98,097,915.23/10,436.78
  6. Step 6: Final answer
    x = 9,399.25

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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.