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Finding the Fourth Proportional to 6,783.84, 10,174.54 and 2,401.32

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Solution

The fourth proportional to 6,783.84, 10,174.54 and 2,401.32 is: 3,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.84 : 10,174.54 = 2,401.32 : x
  2. Step 2: Convert to fraction form
    6,783.84/10,174.54 = 2,401.32/x
  3. Step 3: Cross multiply
    6,783.84x = 10,174.54 × 2,401.32
  4. Step 4: Simplify right side
    6,783.84x = 24,432,326.39
  5. Step 5: Solve for x
    x = 24,432,326.39/6,783.84
  6. Step 6: Final answer
    x = 3,601.55

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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.