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Finding the Fourth Proportional to 8,005.25, 11,998.14 and 5,665.93

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Solution

The fourth proportional to 8,005.25, 11,998.14 and 5,665.93 is: 8,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.25 : 11,998.14 = 5,665.93 : x
  2. Step 2: Convert to fraction form
    8,005.25/11,998.14 = 5,665.93/x
  3. Step 3: Cross multiply
    8,005.25x = 11,998.14 × 5,665.93
  4. Step 4: Simplify right side
    8,005.25x = 67,980,621.37
  5. Step 5: Solve for x
    x = 67,980,621.37/8,005.25
  6. Step 6: Final answer
    x = 8,492.01

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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.