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Finding the Fourth Proportional to 7,803, 11,706.12 and 3,186

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Solution

The fourth proportional to 7,803, 11,706.12 and 3,186 is: 4,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803 : 11,706.12 = 3,186 : x
  2. Step 2: Convert to fraction form
    7,803/11,706.12 = 3,186/x
  3. Step 3: Cross multiply
    7,803x = 11,706.12 × 3,186
  4. Step 4: Simplify right side
    7,803x = 37,295,698.32
  5. Step 5: Solve for x
    x = 37,295,698.32/7,803
  6. Step 6: Final answer
    x = 4,779.66

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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.