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Finding the Fourth Proportional to 11,554.62, 17,330.02 and 4,157.70

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Solution

The fourth proportional to 11,554.62, 17,330.02 and 4,157.70 is: 6,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.62 : 17,330.02 = 4,157.70 : x
  2. Step 2: Convert to fraction form
    11,554.62/17,330.02 = 4,157.70/x
  3. Step 3: Cross multiply
    11,554.62x = 17,330.02 × 4,157.70
  4. Step 4: Simplify right side
    11,554.62x = 72,053,024.15
  5. Step 5: Solve for x
    x = 72,053,024.15/11,554.62
  6. Step 6: Final answer
    x = 6,235.86

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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.