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Finding the Fourth Proportional to 12,216.29, 16,857.95 and 6,911.19

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Solution

The fourth proportional to 12,216.29, 16,857.95 and 6,911.19 is: 9,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.29 : 16,857.95 = 6,911.19 : x
  2. Step 2: Convert to fraction form
    12,216.29/16,857.95 = 6,911.19/x
  3. Step 3: Cross multiply
    12,216.29x = 16,857.95 × 6,911.19
  4. Step 4: Simplify right side
    12,216.29x = 116,508,460.90
  5. Step 5: Solve for x
    x = 116,508,460.90/12,216.29
  6. Step 6: Final answer
    x = 9,537.14

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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.