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Finding the Fourth Proportional to 11,772.50, 16,246.06 and 6,467.42

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Solution

The fourth proportional to 11,772.50, 16,246.06 and 6,467.42 is: 8,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.50 : 16,246.06 = 6,467.42 : x
  2. Step 2: Convert to fraction form
    11,772.50/16,246.06 = 6,467.42/x
  3. Step 3: Cross multiply
    11,772.50x = 16,246.06 × 6,467.42
  4. Step 4: Simplify right side
    11,772.50x = 105,070,093.37
  5. Step 5: Solve for x
    x = 105,070,093.37/11,772.50
  6. Step 6: Final answer
    x = 8,925.05

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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.