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Finding the Fourth Proportional to 8,857.43, 13,269.09 and 4,964.57

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Solution

The fourth proportional to 8,857.43, 13,269.09 and 4,964.57 is: 7,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.43 : 13,269.09 = 4,964.57 : x
  2. Step 2: Convert to fraction form
    8,857.43/13,269.09 = 4,964.57/x
  3. Step 3: Cross multiply
    8,857.43x = 13,269.09 × 4,964.57
  4. Step 4: Simplify right side
    8,857.43x = 65,875,326.14
  5. Step 5: Solve for x
    x = 65,875,326.14/8,857.43
  6. Step 6: Final answer
    x = 7,437.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.