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Finding the Fourth Proportional to 10,804.95, 16,207.43 and 3,409.99

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Solution

The fourth proportional to 10,804.95, 16,207.43 and 3,409.99 is: 5,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.95 : 16,207.43 = 3,409.99 : x
  2. Step 2: Convert to fraction form
    10,804.95/16,207.43 = 3,409.99/x
  3. Step 3: Cross multiply
    10,804.95x = 16,207.43 × 3,409.99
  4. Step 4: Simplify right side
    10,804.95x = 55,267,206.21
  5. Step 5: Solve for x
    x = 55,267,206.21/10,804.95
  6. Step 6: Final answer
    x = 5,114.99

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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.