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Finding the Fourth Proportional to 10,804, 16,210.88 and 6,187

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Solution

The fourth proportional to 10,804, 16,210.88 and 6,187 is: 9,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804 : 16,210.88 = 6,187 : x
  2. Step 2: Convert to fraction form
    10,804/16,210.88 = 6,187/x
  3. Step 3: Cross multiply
    10,804x = 16,210.88 × 6,187
  4. Step 4: Simplify right side
    10,804x = 100,296,714.56
  5. Step 5: Solve for x
    x = 100,296,714.56/10,804
  6. Step 6: Final answer
    x = 9,283.29

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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.