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Finding the Fourth Proportional to 8,005.37, 11,998.32 and 5,666.06

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Solution

The fourth proportional to 8,005.37, 11,998.32 and 5,666.06 is: 8,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.37 : 11,998.32 = 5,666.06 : x
  2. Step 2: Convert to fraction form
    8,005.37/11,998.32 = 5,666.06/x
  3. Step 3: Cross multiply
    8,005.37x = 11,998.32 × 5,666.06
  4. Step 4: Simplify right side
    8,005.37x = 67,983,141.03
  5. Step 5: Solve for x
    x = 67,983,141.03/8,005.37
  6. Step 6: Final answer
    x = 8,492.20

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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.