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Finding the Fourth Proportional to 11,643, 17,379.96 and 10,775.67

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Solution

The fourth proportional to 11,643, 17,379.96 and 10,775.67 is: 16,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643 : 17,379.96 = 10,775.67 : x
  2. Step 2: Convert to fraction form
    11,643/17,379.96 = 10,775.67/x
  3. Step 3: Cross multiply
    11,643x = 17,379.96 × 10,775.67
  4. Step 4: Simplify right side
    11,643x = 187,280,713.57
  5. Step 5: Solve for x
    x = 187,280,713.57/11,643
  6. Step 6: Final answer
    x = 16,085.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.