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Finding the Fourth Proportional to 11,626.85, 17,439.98 and 4,509.08

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Solution

The fourth proportional to 11,626.85, 17,439.98 and 4,509.08 is: 6,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.85 : 17,439.98 = 4,509.08 : x
  2. Step 2: Convert to fraction form
    11,626.85/17,439.98 = 4,509.08/x
  3. Step 3: Cross multiply
    11,626.85x = 17,439.98 × 4,509.08
  4. Step 4: Simplify right side
    11,626.85x = 78,638,220.67
  5. Step 5: Solve for x
    x = 78,638,220.67/11,626.85
  6. Step 6: Final answer
    x = 6,763.50

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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.