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Finding the Fourth Proportional to 10,244.54, 15,347.10 and 6,284.24

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Solution

The fourth proportional to 10,244.54, 15,347.10 and 6,284.24 is: 9,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.54 : 15,347.10 = 6,284.24 : x
  2. Step 2: Convert to fraction form
    10,244.54/15,347.10 = 6,284.24/x
  3. Step 3: Cross multiply
    10,244.54x = 15,347.10 × 6,284.24
  4. Step 4: Simplify right side
    10,244.54x = 96,444,859.70
  5. Step 5: Solve for x
    x = 96,444,859.70/10,244.54
  6. Step 6: Final answer
    x = 9,414.27

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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.