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Finding the Fourth Proportional to 11,596.22, 15,999.02 and 6,559.96

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Solution

The fourth proportional to 11,596.22, 15,999.02 and 6,559.96 is: 9,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.22 : 15,999.02 = 6,559.96 : x
  2. Step 2: Convert to fraction form
    11,596.22/15,999.02 = 6,559.96/x
  3. Step 3: Cross multiply
    11,596.22x = 15,999.02 × 6,559.96
  4. Step 4: Simplify right side
    11,596.22x = 104,952,931.24
  5. Step 5: Solve for x
    x = 104,952,931.24/11,596.22
  6. Step 6: Final answer
    x = 9,050.62

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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.