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Finding the Fourth Proportional to 8,588.66, 11,832.12 and 8,071.98

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Solution

The fourth proportional to 8,588.66, 11,832.12 and 8,071.98 is: 11,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.66 : 11,832.12 = 8,071.98 : x
  2. Step 2: Convert to fraction form
    8,588.66/11,832.12 = 8,071.98/x
  3. Step 3: Cross multiply
    8,588.66x = 11,832.12 × 8,071.98
  4. Step 4: Simplify right side
    8,588.66x = 95,508,636.00
  5. Step 5: Solve for x
    x = 95,508,636.00/8,588.66
  6. Step 6: Final answer
    x = 11,120.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.