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Finding the Fourth Proportional to 8,304.49, 11,459.86 and 4,767.63

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Solution

The fourth proportional to 8,304.49, 11,459.86 and 4,767.63 is: 6,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.49 : 11,459.86 = 4,767.63 : x
  2. Step 2: Convert to fraction form
    8,304.49/11,459.86 = 4,767.63/x
  3. Step 3: Cross multiply
    8,304.49x = 11,459.86 × 4,767.63
  4. Step 4: Simplify right side
    8,304.49x = 54,636,372.33
  5. Step 5: Solve for x
    x = 54,636,372.33/8,304.49
  6. Step 6: Final answer
    x = 6,579.14

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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.