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Finding the Fourth Proportional to 7,970.46, 10,989.84 and 5,453.79

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Solution

The fourth proportional to 7,970.46, 10,989.84 and 5,453.79 is: 7,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.46 : 10,989.84 = 5,453.79 : x
  2. Step 2: Convert to fraction form
    7,970.46/10,989.84 = 5,453.79/x
  3. Step 3: Cross multiply
    7,970.46x = 10,989.84 × 5,453.79
  4. Step 4: Simplify right side
    7,970.46x = 59,936,279.49
  5. Step 5: Solve for x
    x = 59,936,279.49/7,970.46
  6. Step 6: Final answer
    x = 7,519.80

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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.