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Finding the Fourth Proportional to 11,596.36, 16,002.31 and 6,815.56

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Solution

The fourth proportional to 11,596.36, 16,002.31 and 6,815.56 is: 9,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.36 : 16,002.31 = 6,815.56 : x
  2. Step 2: Convert to fraction form
    11,596.36/16,002.31 = 6,815.56/x
  3. Step 3: Cross multiply
    11,596.36x = 16,002.31 × 6,815.56
  4. Step 4: Simplify right side
    11,596.36x = 109,064,703.94
  5. Step 5: Solve for x
    x = 109,064,703.94/11,596.36
  6. Step 6: Final answer
    x = 9,405.08

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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.