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Finding the Fourth Proportional to 11,704.95, 17,557.43 and 4,309.65

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Solution

The fourth proportional to 11,704.95, 17,557.43 and 4,309.65 is: 6,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.95 : 17,557.43 = 4,309.65 : x
  2. Step 2: Convert to fraction form
    11,704.95/17,557.43 = 4,309.65/x
  3. Step 3: Cross multiply
    11,704.95x = 17,557.43 × 4,309.65
  4. Step 4: Simplify right side
    11,704.95x = 75,666,356.65
  5. Step 5: Solve for x
    x = 75,666,356.65/11,704.95
  6. Step 6: Final answer
    x = 6,464.48

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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.