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Finding the Fourth Proportional to 10,596.39, 14,622.99 and 5,880.69

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Solution

The fourth proportional to 10,596.39, 14,622.99 and 5,880.69 is: 8,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.39 : 14,622.99 = 5,880.69 : x
  2. Step 2: Convert to fraction form
    10,596.39/14,622.99 = 5,880.69/x
  3. Step 3: Cross multiply
    10,596.39x = 14,622.99 × 5,880.69
  4. Step 4: Simplify right side
    10,596.39x = 85,993,271.06
  5. Step 5: Solve for x
    x = 85,993,271.06/10,596.39
  6. Step 6: Final answer
    x = 8,115.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.