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Finding the Fourth Proportional to 10,706.51, 16,063.04 and 4,788.37

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Solution

The fourth proportional to 10,706.51, 16,063.04 and 4,788.37 is: 7,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.51 : 16,063.04 = 4,788.37 : x
  2. Step 2: Convert to fraction form
    10,706.51/16,063.04 = 4,788.37/x
  3. Step 3: Cross multiply
    10,706.51x = 16,063.04 × 4,788.37
  4. Step 4: Simplify right side
    10,706.51x = 76,915,786.50
  5. Step 5: Solve for x
    x = 76,915,786.50/10,706.51
  6. Step 6: Final answer
    x = 7,184.02

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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.