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Finding the Fourth Proportional to 12,152.08, 16,768.92 and 6,846.58

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Solution

The fourth proportional to 12,152.08, 16,768.92 and 6,846.58 is: 9,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.08 : 16,768.92 = 6,846.58 : x
  2. Step 2: Convert to fraction form
    12,152.08/16,768.92 = 6,846.58/x
  3. Step 3: Cross multiply
    12,152.08x = 16,768.92 × 6,846.58
  4. Step 4: Simplify right side
    12,152.08x = 114,809,752.29
  5. Step 5: Solve for x
    x = 114,809,752.29/12,152.08
  6. Step 6: Final answer
    x = 9,447.74

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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.