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Finding the Fourth Proportional to 11,768.47, 17,653.31 and 3,003.46

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Solution

The fourth proportional to 11,768.47, 17,653.31 and 3,003.46 is: 4,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.47 : 17,653.31 = 3,003.46 : x
  2. Step 2: Convert to fraction form
    11,768.47/17,653.31 = 3,003.46/x
  3. Step 3: Cross multiply
    11,768.47x = 17,653.31 × 3,003.46
  4. Step 4: Simplify right side
    11,768.47x = 53,020,962.57
  5. Step 5: Solve for x
    x = 53,020,962.57/11,768.47
  6. Step 6: Final answer
    x = 4,505.34

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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.