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Finding the Fourth Proportional to 8,289.75, 11,449.58 and 5,490.39

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Solution

The fourth proportional to 8,289.75, 11,449.58 and 5,490.39 is: 7,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.75 : 11,449.58 = 5,490.39 : x
  2. Step 2: Convert to fraction form
    8,289.75/11,449.58 = 5,490.39/x
  3. Step 3: Cross multiply
    8,289.75x = 11,449.58 × 5,490.39
  4. Step 4: Simplify right side
    8,289.75x = 62,862,632.08
  5. Step 5: Solve for x
    x = 62,862,632.08/8,289.75
  6. Step 6: Final answer
    x = 7,583.18

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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.