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Finding the Fourth Proportional to 11,705.10, 17,557.65 and 8,441.10

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Solution

The fourth proportional to 11,705.10, 17,557.65 and 8,441.10 is: 12,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.10 : 17,557.65 = 8,441.10 : x
  2. Step 2: Convert to fraction form
    11,705.10/17,557.65 = 8,441.10/x
  3. Step 3: Cross multiply
    11,705.10x = 17,557.65 × 8,441.10
  4. Step 4: Simplify right side
    11,705.10x = 148,205,879.42
  5. Step 5: Solve for x
    x = 148,205,879.42/11,705.10
  6. Step 6: Final answer
    x = 12,661.65

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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.