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Finding the Fourth Proportional to 11,648.04, 17,471.56 and 5,074.24

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Solution

The fourth proportional to 11,648.04, 17,471.56 and 5,074.24 is: 7,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.04 : 17,471.56 = 5,074.24 : x
  2. Step 2: Convert to fraction form
    11,648.04/17,471.56 = 5,074.24/x
  3. Step 3: Cross multiply
    11,648.04x = 17,471.56 × 5,074.24
  4. Step 4: Simplify right side
    11,648.04x = 88,654,888.61
  5. Step 5: Solve for x
    x = 88,654,888.61/11,648.04
  6. Step 6: Final answer
    x = 7,611.14

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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.