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Finding the Fourth Proportional to 11,706.09, 17,560.89 and 4,309.98

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Solution

The fourth proportional to 11,706.09, 17,560.89 and 4,309.98 is: 6,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.09 : 17,560.89 = 4,309.98 : x
  2. Step 2: Convert to fraction form
    11,706.09/17,560.89 = 4,309.98/x
  3. Step 3: Cross multiply
    11,706.09x = 17,560.89 × 4,309.98
  4. Step 4: Simplify right side
    11,706.09x = 75,687,134.37
  5. Step 5: Solve for x
    x = 75,687,134.37/11,706.09
  6. Step 6: Final answer
    x = 6,465.62

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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.