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Finding the Fourth Proportional to 8,019.98, 11,968.14 and 7,048.17

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Solution

The fourth proportional to 8,019.98, 11,968.14 and 7,048.17 is: 10,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.98 : 11,968.14 = 7,048.17 : x
  2. Step 2: Convert to fraction form
    8,019.98/11,968.14 = 7,048.17/x
  3. Step 3: Cross multiply
    8,019.98x = 11,968.14 × 7,048.17
  4. Step 4: Simplify right side
    8,019.98x = 84,353,450.06
  5. Step 5: Solve for x
    x = 84,353,450.06/8,019.98
  6. Step 6: Final answer
    x = 10,517.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.