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Finding the Fourth Proportional to 8,012.06, 12,007.63 and 5,798.34

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Solution

The fourth proportional to 8,012.06, 12,007.63 and 5,798.34 is: 8,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.06 : 12,007.63 = 5,798.34 : x
  2. Step 2: Convert to fraction form
    8,012.06/12,007.63 = 5,798.34/x
  3. Step 3: Cross multiply
    8,012.06x = 12,007.63 × 5,798.34
  4. Step 4: Simplify right side
    8,012.06x = 69,624,292.34
  5. Step 5: Solve for x
    x = 69,624,292.34/8,012.06
  6. Step 6: Final answer
    x = 8,689.94

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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.