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Finding the Fourth Proportional to 8,443.74, 11,653.80 and 4,909

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Solution

The fourth proportional to 8,443.74, 11,653.80 and 4,909 is: 6,775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.74 : 11,653.80 = 4,909 : x
  2. Step 2: Convert to fraction form
    8,443.74/11,653.80 = 4,909/x
  3. Step 3: Cross multiply
    8,443.74x = 11,653.80 × 4,909
  4. Step 4: Simplify right side
    8,443.74x = 57,208,504.20
  5. Step 5: Solve for x
    x = 57,208,504.20/8,443.74
  6. Step 6: Final answer
    x = 6,775.26

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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.