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Finding the Fourth Proportional to 11,606.57, 17,409.83 and 4,211.00

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Solution

The fourth proportional to 11,606.57, 17,409.83 and 4,211.00 is: 6,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.57 : 17,409.83 = 4,211.00 : x
  2. Step 2: Convert to fraction form
    11,606.57/17,409.83 = 4,211.00/x
  3. Step 3: Cross multiply
    11,606.57x = 17,409.83 × 4,211.00
  4. Step 4: Simplify right side
    11,606.57x = 73,312,686.03
  5. Step 5: Solve for x
    x = 73,312,686.03/11,606.57
  6. Step 6: Final answer
    x = 6,316.48

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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.