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Finding the Fourth Proportional to 10,274.27, 15,399.74 and 4,347.47

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Solution

The fourth proportional to 10,274.27, 15,399.74 and 4,347.47 is: 6,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.27 : 15,399.74 = 4,347.47 : x
  2. Step 2: Convert to fraction form
    10,274.27/15,399.74 = 4,347.47/x
  3. Step 3: Cross multiply
    10,274.27x = 15,399.74 × 4,347.47
  4. Step 4: Simplify right side
    10,274.27x = 66,949,841.53
  5. Step 5: Solve for x
    x = 66,949,841.53/10,274.27
  6. Step 6: Final answer
    x = 6,516.26

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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.