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Finding the Fourth Proportional to 12,087.36, 16,680.86 and 6,782.58

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Solution

The fourth proportional to 12,087.36, 16,680.86 and 6,782.58 is: 9,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.36 : 16,680.86 = 6,782.58 : x
  2. Step 2: Convert to fraction form
    12,087.36/16,680.86 = 6,782.58/x
  3. Step 3: Cross multiply
    12,087.36x = 16,680.86 × 6,782.58
  4. Step 4: Simplify right side
    12,087.36x = 113,139,267.42
  5. Step 5: Solve for x
    x = 113,139,267.42/12,087.36
  6. Step 6: Final answer
    x = 9,360.13

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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.