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Finding the Fourth Proportional to 11,605.23, 17,417.07 and 4,211.82

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Solution

The fourth proportional to 11,605.23, 17,417.07 and 4,211.82 is: 6,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.23 : 17,417.07 = 4,211.82 : x
  2. Step 2: Convert to fraction form
    11,605.23/17,417.07 = 4,211.82/x
  3. Step 3: Cross multiply
    11,605.23x = 17,417.07 × 4,211.82
  4. Step 4: Simplify right side
    11,605.23x = 73,357,563.77
  5. Step 5: Solve for x
    x = 73,357,563.77/11,605.23
  6. Step 6: Final answer
    x = 6,321.08

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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.