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Finding the Fourth Proportional to 8,304.74, 11,459.85 and 4,767.20

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Solution

The fourth proportional to 8,304.74, 11,459.85 and 4,767.20 is: 6,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.74 : 11,459.85 = 4,767.20 : x
  2. Step 2: Convert to fraction form
    8,304.74/11,459.85 = 4,767.20/x
  3. Step 3: Cross multiply
    8,304.74x = 11,459.85 × 4,767.20
  4. Step 4: Simplify right side
    8,304.74x = 54,631,396.92
  5. Step 5: Solve for x
    x = 54,631,396.92/8,304.74
  6. Step 6: Final answer
    x = 6,578.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.