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Finding the Fourth Proportional to 11,200.30, 16,802.95 and 3,409.72

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Solution

The fourth proportional to 11,200.30, 16,802.95 and 3,409.72 is: 5,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.30 : 16,802.95 = 3,409.72 : x
  2. Step 2: Convert to fraction form
    11,200.30/16,802.95 = 3,409.72/x
  3. Step 3: Cross multiply
    11,200.30x = 16,802.95 × 3,409.72
  4. Step 4: Simplify right side
    11,200.30x = 57,293,262.13
  5. Step 5: Solve for x
    x = 57,293,262.13/11,200.30
  6. Step 6: Final answer
    x = 5,115.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.