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Finding the Fourth Proportional to 8,314.29, 11,473.36 and 4,537.36

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Solution

The fourth proportional to 8,314.29, 11,473.36 and 4,537.36 is: 6,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.29 : 11,473.36 = 4,537.36 : x
  2. Step 2: Convert to fraction form
    8,314.29/11,473.36 = 4,537.36/x
  3. Step 3: Cross multiply
    8,314.29x = 11,473.36 × 4,537.36
  4. Step 4: Simplify right side
    8,314.29x = 52,058,764.73
  5. Step 5: Solve for x
    x = 52,058,764.73/8,314.29
  6. Step 6: Final answer
    x = 6,261.36

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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.