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Finding the Fourth Proportional to 8,047.09, 12,068.56 and 3,663.64

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Solution

The fourth proportional to 8,047.09, 12,068.56 and 3,663.64 is: 5,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.09 : 12,068.56 = 3,663.64 : x
  2. Step 2: Convert to fraction form
    8,047.09/12,068.56 = 3,663.64/x
  3. Step 3: Cross multiply
    8,047.09x = 12,068.56 × 3,663.64
  4. Step 4: Simplify right side
    8,047.09x = 44,214,859.16
  5. Step 5: Solve for x
    x = 44,214,859.16/8,047.09
  6. Step 6: Final answer
    x = 5,494.52

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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.