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Finding the Fourth Proportional to 11,563.27, 15,958.03 and 6,525.65

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Solution

The fourth proportional to 11,563.27, 15,958.03 and 6,525.65 is: 9,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.27 : 15,958.03 = 6,525.65 : x
  2. Step 2: Convert to fraction form
    11,563.27/15,958.03 = 6,525.65/x
  3. Step 3: Cross multiply
    11,563.27x = 15,958.03 × 6,525.65
  4. Step 4: Simplify right side
    11,563.27x = 104,136,462.26
  5. Step 5: Solve for x
    x = 104,136,462.26/11,563.27
  6. Step 6: Final answer
    x = 9,005.80

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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.