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Finding the Fourth Proportional to 8,254.60, 11,384.41 and 5,419.80

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Solution

The fourth proportional to 8,254.60, 11,384.41 and 5,419.80 is: 7,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.60 : 11,384.41 = 5,419.80 : x
  2. Step 2: Convert to fraction form
    8,254.60/11,384.41 = 5,419.80/x
  3. Step 3: Cross multiply
    8,254.60x = 11,384.41 × 5,419.80
  4. Step 4: Simplify right side
    8,254.60x = 61,701,168.40
  5. Step 5: Solve for x
    x = 61,701,168.40/8,254.60
  6. Step 6: Final answer
    x = 7,474.77

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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.