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Finding the Fourth Proportional to 12,216.88, 16,859.64 and 6,911.58

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Solution

The fourth proportional to 12,216.88, 16,859.64 and 6,911.58 is: 9,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.88 : 16,859.64 = 6,911.58 : x
  2. Step 2: Convert to fraction form
    12,216.88/16,859.64 = 6,911.58/x
  3. Step 3: Cross multiply
    12,216.88x = 16,859.64 × 6,911.58
  4. Step 4: Simplify right side
    12,216.88x = 116,526,744.94
  5. Step 5: Solve for x
    x = 116,526,744.94/12,216.88
  6. Step 6: Final answer
    x = 9,538.18

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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.