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Finding the Fourth Proportional to 11,772.54, 16,246.14 and 6,467.46

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Solution

The fourth proportional to 11,772.54, 16,246.14 and 6,467.46 is: 8,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.54 : 16,246.14 = 6,467.46 : x
  2. Step 2: Convert to fraction form
    11,772.54/16,246.14 = 6,467.46/x
  3. Step 3: Cross multiply
    11,772.54x = 16,246.14 × 6,467.46
  4. Step 4: Simplify right side
    11,772.54x = 105,071,260.60
  5. Step 5: Solve for x
    x = 105,071,260.60/11,772.54
  6. Step 6: Final answer
    x = 8,925.11

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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.