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Finding the Fourth Proportional to 8,482.84, 11,706.39 and 4,706.25

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Solution

The fourth proportional to 8,482.84, 11,706.39 and 4,706.25 is: 6,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.84 : 11,706.39 = 4,706.25 : x
  2. Step 2: Convert to fraction form
    8,482.84/11,706.39 = 4,706.25/x
  3. Step 3: Cross multiply
    8,482.84x = 11,706.39 × 4,706.25
  4. Step 4: Simplify right side
    8,482.84x = 55,093,197.94
  5. Step 5: Solve for x
    x = 55,093,197.94/8,482.84
  6. Step 6: Final answer
    x = 6,494.66

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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.