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Finding the Fourth Proportional to 8,006.24, 11,984.24 and 5,814.40

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Solution

The fourth proportional to 8,006.24, 11,984.24 and 5,814.40 is: 8,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.24 : 11,984.24 = 5,814.40 : x
  2. Step 2: Convert to fraction form
    8,006.24/11,984.24 = 5,814.40/x
  3. Step 3: Cross multiply
    8,006.24x = 11,984.24 × 5,814.40
  4. Step 4: Simplify right side
    8,006.24x = 69,681,165.06
  5. Step 5: Solve for x
    x = 69,681,165.06/8,006.24
  6. Step 6: Final answer
    x = 8,703.36

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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.