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Finding the Fourth Proportional to 8,342.46, 11,509.32 and 5,357.88

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Solution

The fourth proportional to 8,342.46, 11,509.32 and 5,357.88 is: 7,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.46 : 11,509.32 = 5,357.88 : x
  2. Step 2: Convert to fraction form
    8,342.46/11,509.32 = 5,357.88/x
  3. Step 3: Cross multiply
    8,342.46x = 11,509.32 × 5,357.88
  4. Step 4: Simplify right side
    8,342.46x = 61,665,555.44
  5. Step 5: Solve for x
    x = 61,665,555.44/8,342.46
  6. Step 6: Final answer
    x = 7,391.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.