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Finding the Fourth Proportional to 11,798.56, 17,697.66 and 4,012.84

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Solution

The fourth proportional to 11,798.56, 17,697.66 and 4,012.84 is: 6,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.56 : 17,697.66 = 4,012.84 : x
  2. Step 2: Convert to fraction form
    11,798.56/17,697.66 = 4,012.84/x
  3. Step 3: Cross multiply
    11,798.56x = 17,697.66 × 4,012.84
  4. Step 4: Simplify right side
    11,798.56x = 71,017,877.95
  5. Step 5: Solve for x
    x = 71,017,877.95/11,798.56
  6. Step 6: Final answer
    x = 6,019.20

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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.