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Finding the Fourth Proportional to 8,706.69, 13,054.77 and 3,506.49

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Solution

The fourth proportional to 8,706.69, 13,054.77 and 3,506.49 is: 5,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.69 : 13,054.77 = 3,506.49 : x
  2. Step 2: Convert to fraction form
    8,706.69/13,054.77 = 3,506.49/x
  3. Step 3: Cross multiply
    8,706.69x = 13,054.77 × 3,506.49
  4. Step 4: Simplify right side
    8,706.69x = 45,776,420.46
  5. Step 5: Solve for x
    x = 45,776,420.46/8,706.69
  6. Step 6: Final answer
    x = 5,257.61

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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.