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Finding the Fourth Proportional to 11,587.36, 16,005.90 and 8,882.14

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Solution

The fourth proportional to 11,587.36, 16,005.90 and 8,882.14 is: 12,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.36 : 16,005.90 = 8,882.14 : x
  2. Step 2: Convert to fraction form
    11,587.36/16,005.90 = 8,882.14/x
  3. Step 3: Cross multiply
    11,587.36x = 16,005.90 × 8,882.14
  4. Step 4: Simplify right side
    11,587.36x = 142,166,644.63
  5. Step 5: Solve for x
    x = 142,166,644.63/11,587.36
  6. Step 6: Final answer
    x = 12,269.11

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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.