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Finding the Fourth Proportional to 8,696.84, 13,045.25 and 5,255.96

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Solution

The fourth proportional to 8,696.84, 13,045.25 and 5,255.96 is: 7,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.84 : 13,045.25 = 5,255.96 : x
  2. Step 2: Convert to fraction form
    8,696.84/13,045.25 = 5,255.96/x
  3. Step 3: Cross multiply
    8,696.84x = 13,045.25 × 5,255.96
  4. Step 4: Simplify right side
    8,696.84x = 68,565,260.10
  5. Step 5: Solve for x
    x = 68,565,260.10/8,696.84
  6. Step 6: Final answer
    x = 7,883.93

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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.