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Finding the Fourth Proportional to 11,199.30, 16,798.33 and 3,407.50

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Solution

The fourth proportional to 11,199.30, 16,798.33 and 3,407.50 is: 5,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.30 : 16,798.33 = 3,407.50 : x
  2. Step 2: Convert to fraction form
    11,199.30/16,798.33 = 3,407.50/x
  3. Step 3: Cross multiply
    11,199.30x = 16,798.33 × 3,407.50
  4. Step 4: Simplify right side
    11,199.30x = 57,240,309.48
  5. Step 5: Solve for x
    x = 57,240,309.48/11,199.30
  6. Step 6: Final answer
    x = 5,111.06

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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.