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Finding the Fourth Proportional to 8,185.96, 12,278.94 and 7,058.44

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Solution

The fourth proportional to 8,185.96, 12,278.94 and 7,058.44 is: 10,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.96 : 12,278.94 = 7,058.44 : x
  2. Step 2: Convert to fraction form
    8,185.96/12,278.94 = 7,058.44/x
  3. Step 3: Cross multiply
    8,185.96x = 12,278.94 × 7,058.44
  4. Step 4: Simplify right side
    8,185.96x = 86,670,161.25
  5. Step 5: Solve for x
    x = 86,670,161.25/8,185.96
  6. Step 6: Final answer
    x = 10,587.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.