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Finding the Fourth Proportional to 11,596.37, 16,002.92 and 6,291.07

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Solution

The fourth proportional to 11,596.37, 16,002.92 and 6,291.07 is: 8,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.37 : 16,002.92 = 6,291.07 : x
  2. Step 2: Convert to fraction form
    11,596.37/16,002.92 = 6,291.07/x
  3. Step 3: Cross multiply
    11,596.37x = 16,002.92 × 6,291.07
  4. Step 4: Simplify right side
    11,596.37x = 100,675,430.26
  5. Step 5: Solve for x
    x = 100,675,430.26/11,596.37
  6. Step 6: Final answer
    x = 8,681.64

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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.