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Finding the Fourth Proportional to 11,805.18, 16,295.58 and 7,827.64

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Solution

The fourth proportional to 11,805.18, 16,295.58 and 7,827.64 is: 10,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.18 : 16,295.58 = 7,827.64 : x
  2. Step 2: Convert to fraction form
    11,805.18/16,295.58 = 7,827.64/x
  3. Step 3: Cross multiply
    11,805.18x = 16,295.58 × 7,827.64
  4. Step 4: Simplify right side
    11,805.18x = 127,555,933.83
  5. Step 5: Solve for x
    x = 127,555,933.83/11,805.18
  6. Step 6: Final answer
    x = 10,805.08

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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.