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Finding the Fourth Proportional to 8,476.87, 11,690.72 and 6,705.37

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Solution

The fourth proportional to 8,476.87, 11,690.72 and 6,705.37 is: 9,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.87 : 11,690.72 = 6,705.37 : x
  2. Step 2: Convert to fraction form
    8,476.87/11,690.72 = 6,705.37/x
  3. Step 3: Cross multiply
    8,476.87x = 11,690.72 × 6,705.37
  4. Step 4: Simplify right side
    8,476.87x = 78,390,569.64
  5. Step 5: Solve for x
    x = 78,390,569.64/8,476.87
  6. Step 6: Final answer
    x = 9,247.58

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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.