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Finding the Fourth Proportional to 8,725.36, 13,081.20 and 5,440

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Solution

The fourth proportional to 8,725.36, 13,081.20 and 5,440 is: 8,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.36 : 13,081.20 = 5,440 : x
  2. Step 2: Convert to fraction form
    8,725.36/13,081.20 = 5,440/x
  3. Step 3: Cross multiply
    8,725.36x = 13,081.20 × 5,440
  4. Step 4: Simplify right side
    8,725.36x = 71,161,728
  5. Step 5: Solve for x
    x = 71,161,728/8,725.36
  6. Step 6: Final answer
    x = 8,155.74

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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.