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Finding the Fourth Proportional to 11,809.08, 16,278.84 and 7,823.22

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Solution

The fourth proportional to 11,809.08, 16,278.84 and 7,823.22 is: 10,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.08 : 16,278.84 = 7,823.22 : x
  2. Step 2: Convert to fraction form
    11,809.08/16,278.84 = 7,823.22/x
  3. Step 3: Cross multiply
    11,809.08x = 16,278.84 × 7,823.22
  4. Step 4: Simplify right side
    11,809.08x = 127,352,946.66
  5. Step 5: Solve for x
    x = 127,352,946.66/11,809.08
  6. Step 6: Final answer
    x = 10,784.32

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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.