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Finding the Fourth Proportional to 8,471.68, 11,664.48 and 6,974.80

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Solution

The fourth proportional to 8,471.68, 11,664.48 and 6,974.80 is: 9,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.68 : 11,664.48 = 6,974.80 : x
  2. Step 2: Convert to fraction form
    8,471.68/11,664.48 = 6,974.80/x
  3. Step 3: Cross multiply
    8,471.68x = 11,664.48 × 6,974.80
  4. Step 4: Simplify right side
    8,471.68x = 81,357,415.10
  5. Step 5: Solve for x
    x = 81,357,415.10/8,471.68
  6. Step 6: Final answer
    x = 9,603.46

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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.