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Finding the Fourth Proportional to 12,217.77, 16,858.53 and 6,911.46

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Solution

The fourth proportional to 12,217.77, 16,858.53 and 6,911.46 is: 9,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.77 : 16,858.53 = 6,911.46 : x
  2. Step 2: Convert to fraction form
    12,217.77/16,858.53 = 6,911.46/x
  3. Step 3: Cross multiply
    12,217.77x = 16,858.53 × 6,911.46
  4. Step 4: Simplify right side
    12,217.77x = 116,517,055.75
  5. Step 5: Solve for x
    x = 116,517,055.75/12,217.77
  6. Step 6: Final answer
    x = 9,536.69

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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.