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Finding the Fourth Proportional to 8,304.98, 11,460.45 and 4,768.34

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Solution

The fourth proportional to 8,304.98, 11,460.45 and 4,768.34 is: 6,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.98 : 11,460.45 = 4,768.34 : x
  2. Step 2: Convert to fraction form
    8,304.98/11,460.45 = 4,768.34/x
  3. Step 3: Cross multiply
    8,304.98x = 11,460.45 × 4,768.34
  4. Step 4: Simplify right side
    8,304.98x = 54,647,322.15
  5. Step 5: Solve for x
    x = 54,647,322.15/8,304.98
  6. Step 6: Final answer
    x = 6,580.07

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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.