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Finding the Fourth Proportional to 8,004.48, 12,024.06 and 6,774.36

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Solution

The fourth proportional to 8,004.48, 12,024.06 and 6,774.36 is: 10,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.48 : 12,024.06 = 6,774.36 : x
  2. Step 2: Convert to fraction form
    8,004.48/12,024.06 = 6,774.36/x
  3. Step 3: Cross multiply
    8,004.48x = 12,024.06 × 6,774.36
  4. Step 4: Simplify right side
    8,004.48x = 81,455,311.10
  5. Step 5: Solve for x
    x = 81,455,311.10/8,004.48
  6. Step 6: Final answer
    x = 10,176.22

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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.