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Finding the Fourth Proportional to 8,304.25, 11,459.87 and 4,578.25

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Solution

The fourth proportional to 8,304.25, 11,459.87 and 4,578.25 is: 6,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.25 : 11,459.87 = 4,578.25 : x
  2. Step 2: Convert to fraction form
    8,304.25/11,459.87 = 4,578.25/x
  3. Step 3: Cross multiply
    8,304.25x = 11,459.87 × 4,578.25
  4. Step 4: Simplify right side
    8,304.25x = 52,466,126.94
  5. Step 5: Solve for x
    x = 52,466,126.94/8,304.25
  6. Step 6: Final answer
    x = 6,317.99

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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.