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Finding the Fourth Proportional to 7,512.93, 10,378.46 and 6,839.62

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Solution

The fourth proportional to 7,512.93, 10,378.46 and 6,839.62 is: 9,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.93 : 10,378.46 = 6,839.62 : x
  2. Step 2: Convert to fraction form
    7,512.93/10,378.46 = 6,839.62/x
  3. Step 3: Cross multiply
    7,512.93x = 10,378.46 × 6,839.62
  4. Step 4: Simplify right side
    7,512.93x = 70,984,722.59
  5. Step 5: Solve for x
    x = 70,984,722.59/7,512.93
  6. Step 6: Final answer
    x = 9,448.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.