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Finding the Fourth Proportional to 8,803.49, 13,207.27 and 2,564.16

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Solution

The fourth proportional to 8,803.49, 13,207.27 and 2,564.16 is: 3,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803.49 : 13,207.27 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    8,803.49/13,207.27 = 2,564.16/x
  3. Step 3: Cross multiply
    8,803.49x = 13,207.27 × 2,564.16
  4. Step 4: Simplify right side
    8,803.49x = 33,865,502.31
  5. Step 5: Solve for x
    x = 33,865,502.31/8,803.49
  6. Step 6: Final answer
    x = 3,846.83

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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.