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Finding the Fourth Proportional to 11,665.98, 17,505.65 and 4,269.46

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Solution

The fourth proportional to 11,665.98, 17,505.65 and 4,269.46 is: 6,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.98 : 17,505.65 = 4,269.46 : x
  2. Step 2: Convert to fraction form
    11,665.98/17,505.65 = 4,269.46/x
  3. Step 3: Cross multiply
    11,665.98x = 17,505.65 × 4,269.46
  4. Step 4: Simplify right side
    11,665.98x = 74,739,672.45
  5. Step 5: Solve for x
    x = 74,739,672.45/11,665.98
  6. Step 6: Final answer
    x = 6,406.63

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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.