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Finding the Fourth Proportional to 7,921.41, 11,883 and 3,538.31

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Solution

The fourth proportional to 7,921.41, 11,883 and 3,538.31 is: 5,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.41 : 11,883 = 3,538.31 : x
  2. Step 2: Convert to fraction form
    7,921.41/11,883 = 3,538.31/x
  3. Step 3: Cross multiply
    7,921.41x = 11,883 × 3,538.31
  4. Step 4: Simplify right side
    7,921.41x = 42,045,678.32
  5. Step 5: Solve for x
    x = 42,045,678.32/7,921.41
  6. Step 6: Final answer
    x = 5,307.85

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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.