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Finding the Fourth Proportional to 8,474.30, 11,698.67 and 5,643.35

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Solution

The fourth proportional to 8,474.30, 11,698.67 and 5,643.35 is: 7,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.30 : 11,698.67 = 5,643.35 : x
  2. Step 2: Convert to fraction form
    8,474.30/11,698.67 = 5,643.35/x
  3. Step 3: Cross multiply
    8,474.30x = 11,698.67 × 5,643.35
  4. Step 4: Simplify right side
    8,474.30x = 66,019,689.34
  5. Step 5: Solve for x
    x = 66,019,689.34/8,474.30
  6. Step 6: Final answer
    x = 7,790.58

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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.