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Finding the Fourth Proportional to 10,274.10, 15,401.79 and 3,698.79

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Solution

The fourth proportional to 10,274.10, 15,401.79 and 3,698.79 is: 5,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.10 : 15,401.79 = 3,698.79 : x
  2. Step 2: Convert to fraction form
    10,274.10/15,401.79 = 3,698.79/x
  3. Step 3: Cross multiply
    10,274.10x = 15,401.79 × 3,698.79
  4. Step 4: Simplify right side
    10,274.10x = 56,967,986.83
  5. Step 5: Solve for x
    x = 56,967,986.83/10,274.10
  6. Step 6: Final answer
    x = 5,544.82

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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.