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Finding the Fourth Proportional to 10,804.34, 16,206.52 and 3,409.38

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Solution

The fourth proportional to 10,804.34, 16,206.52 and 3,409.38 is: 5,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.34 : 16,206.52 = 3,409.38 : x
  2. Step 2: Convert to fraction form
    10,804.34/16,206.52 = 3,409.38/x
  3. Step 3: Cross multiply
    10,804.34x = 16,206.52 × 3,409.38
  4. Step 4: Simplify right side
    10,804.34x = 55,254,176.63
  5. Step 5: Solve for x
    x = 55,254,176.63/10,804.34
  6. Step 6: Final answer
    x = 5,114.07

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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.