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Finding the Fourth Proportional to 11,210.46, 16,804 and 4,186.05

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Solution

The fourth proportional to 11,210.46, 16,804 and 4,186.05 is: 6,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.46 : 16,804 = 4,186.05 : x
  2. Step 2: Convert to fraction form
    11,210.46/16,804 = 4,186.05/x
  3. Step 3: Cross multiply
    11,210.46x = 16,804 × 4,186.05
  4. Step 4: Simplify right side
    11,210.46x = 70,342,384.20
  5. Step 5: Solve for x
    x = 70,342,384.20/11,210.46
  6. Step 6: Final answer
    x = 6,274.71

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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.