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Finding the Fourth Proportional to 8,313.82, 11,473.29 and 4,537.06

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Solution

The fourth proportional to 8,313.82, 11,473.29 and 4,537.06 is: 6,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.82 : 11,473.29 = 4,537.06 : x
  2. Step 2: Convert to fraction form
    8,313.82/11,473.29 = 4,537.06/x
  3. Step 3: Cross multiply
    8,313.82x = 11,473.29 × 4,537.06
  4. Step 4: Simplify right side
    8,313.82x = 52,054,976.44
  5. Step 5: Solve for x
    x = 52,054,976.44/8,313.82
  6. Step 6: Final answer
    x = 6,261.26

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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.