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Finding the Fourth Proportional to 8,910.64, 12,302.26 and 5,725.22

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Solution

The fourth proportional to 8,910.64, 12,302.26 and 5,725.22 is: 7,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910.64 : 12,302.26 = 5,725.22 : x
  2. Step 2: Convert to fraction form
    8,910.64/12,302.26 = 5,725.22/x
  3. Step 3: Cross multiply
    8,910.64x = 12,302.26 × 5,725.22
  4. Step 4: Simplify right side
    8,910.64x = 70,433,145.00
  5. Step 5: Solve for x
    x = 70,433,145.00/8,910.64
  6. Step 6: Final answer
    x = 7,904.39

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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.