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Finding the Fourth Proportional to 11,058.30, 16,587.45 and 8,142.30

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Solution

The fourth proportional to 11,058.30, 16,587.45 and 8,142.30 is: 12,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058.30 : 16,587.45 = 8,142.30 : x
  2. Step 2: Convert to fraction form
    11,058.30/16,587.45 = 8,142.30/x
  3. Step 3: Cross multiply
    11,058.30x = 16,587.45 × 8,142.30
  4. Step 4: Simplify right side
    11,058.30x = 135,059,994.14
  5. Step 5: Solve for x
    x = 135,059,994.14/11,058.30
  6. Step 6: Final answer
    x = 12,213.45

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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.