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Finding the Fourth Proportional to 8,295.48, 11,439.63 and 5,464.53

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Solution

The fourth proportional to 8,295.48, 11,439.63 and 5,464.53 is: 7,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.48 : 11,439.63 = 5,464.53 : x
  2. Step 2: Convert to fraction form
    8,295.48/11,439.63 = 5,464.53/x
  3. Step 3: Cross multiply
    8,295.48x = 11,439.63 × 5,464.53
  4. Step 4: Simplify right side
    8,295.48x = 62,512,201.32
  5. Step 5: Solve for x
    x = 62,512,201.32/8,295.48
  6. Step 6: Final answer
    x = 7,535.69

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Why These Related Problems?

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