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Finding the Fourth Proportional to 6,927.84, 10,394.16 and 4,327.68

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Solution

The fourth proportional to 6,927.84, 10,394.16 and 4,327.68 is: 6,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.84 : 10,394.16 = 4,327.68 : x
  2. Step 2: Convert to fraction form
    6,927.84/10,394.16 = 4,327.68/x
  3. Step 3: Cross multiply
    6,927.84x = 10,394.16 × 4,327.68
  4. Step 4: Simplify right side
    6,927.84x = 44,982,598.35
  5. Step 5: Solve for x
    x = 44,982,598.35/6,927.84
  6. Step 6: Final answer
    x = 6,493.02

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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.