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Finding the Fourth Proportional to 8,596.10, 12,900.60 and 3,669.14

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Solution

The fourth proportional to 8,596.10, 12,900.60 and 3,669.14 is: 5,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.10 : 12,900.60 = 3,669.14 : x
  2. Step 2: Convert to fraction form
    8,596.10/12,900.60 = 3,669.14/x
  3. Step 3: Cross multiply
    8,596.10x = 12,900.60 × 3,669.14
  4. Step 4: Simplify right side
    8,596.10x = 47,334,139.74
  5. Step 5: Solve for x
    x = 47,334,139.74/8,596.10
  6. Step 6: Final answer
    x = 5,506.47

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Why These Related Problems?

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