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Finding the Fourth Proportional to 6,957.39, 10,419.69 and 5,384.80

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Solution

The fourth proportional to 6,957.39, 10,419.69 and 5,384.80 is: 8,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.39 : 10,419.69 = 5,384.80 : x
  2. Step 2: Convert to fraction form
    6,957.39/10,419.69 = 5,384.80/x
  3. Step 3: Cross multiply
    6,957.39x = 10,419.69 × 5,384.80
  4. Step 4: Simplify right side
    6,957.39x = 56,107,978.95
  5. Step 5: Solve for x
    x = 56,107,978.95/6,957.39
  6. Step 6: Final answer
    x = 8,064.51

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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.