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Finding the Fourth Proportional to 8,587.98, 11,762.58 and 8,083.62

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Solution

The fourth proportional to 8,587.98, 11,762.58 and 8,083.62 is: 11,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.98 : 11,762.58 = 8,083.62 : x
  2. Step 2: Convert to fraction form
    8,587.98/11,762.58 = 8,083.62/x
  3. Step 3: Cross multiply
    8,587.98x = 11,762.58 × 8,083.62
  4. Step 4: Simplify right side
    8,587.98x = 95,084,226.94
  5. Step 5: Solve for x
    x = 95,084,226.94/8,587.98
  6. Step 6: Final answer
    x = 11,071.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.