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Finding the Fourth Proportional to 10,706.35, 16,064.14 and 4,467.59

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Solution

The fourth proportional to 10,706.35, 16,064.14 and 4,467.59 is: 6,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.35 : 16,064.14 = 4,467.59 : x
  2. Step 2: Convert to fraction form
    10,706.35/16,064.14 = 4,467.59/x
  3. Step 3: Cross multiply
    10,706.35x = 16,064.14 × 4,467.59
  4. Step 4: Simplify right side
    10,706.35x = 71,767,991.22
  5. Step 5: Solve for x
    x = 71,767,991.22/10,706.35
  6. Step 6: Final answer
    x = 6,703.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.