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Finding the Fourth Proportional to 10,596.22, 15,894.87 and 3,576.49

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Solution

The fourth proportional to 10,596.22, 15,894.87 and 3,576.49 is: 5,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.22 : 15,894.87 = 3,576.49 : x
  2. Step 2: Convert to fraction form
    10,596.22/15,894.87 = 3,576.49/x
  3. Step 3: Cross multiply
    10,596.22x = 15,894.87 × 3,576.49
  4. Step 4: Simplify right side
    10,596.22x = 56,847,790.46
  5. Step 5: Solve for x
    x = 56,847,790.46/10,596.22
  6. Step 6: Final answer
    x = 5,364.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.