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Finding the Fourth Proportional to 11,205, 16,810.26 and 4,633.08

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Solution

The fourth proportional to 11,205, 16,810.26 and 4,633.08 is: 6,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205 : 16,810.26 = 4,633.08 : x
  2. Step 2: Convert to fraction form
    11,205/16,810.26 = 4,633.08/x
  3. Step 3: Cross multiply
    11,205x = 16,810.26 × 4,633.08
  4. Step 4: Simplify right side
    11,205x = 77,883,279.40
  5. Step 5: Solve for x
    x = 77,883,279.40/11,205
  6. Step 6: Final answer
    x = 6,950.76

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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.