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Finding the Fourth Proportional to 10,274.48, 15,407.94 and 3,698.90

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Solution

The fourth proportional to 10,274.48, 15,407.94 and 3,698.90 is: 5,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.48 : 15,407.94 = 3,698.90 : x
  2. Step 2: Convert to fraction form
    10,274.48/15,407.94 = 3,698.90/x
  3. Step 3: Cross multiply
    10,274.48x = 15,407.94 × 3,698.90
  4. Step 4: Simplify right side
    10,274.48x = 56,992,429.27
  5. Step 5: Solve for x
    x = 56,992,429.27/10,274.48
  6. Step 6: Final answer
    x = 5,546.99

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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.