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Finding the Fourth Proportional to 8,782.20, 13,166.90 and 3,585.40

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Solution

The fourth proportional to 8,782.20, 13,166.90 and 3,585.40 is: 5,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.20 : 13,166.90 = 3,585.40 : x
  2. Step 2: Convert to fraction form
    8,782.20/13,166.90 = 3,585.40/x
  3. Step 3: Cross multiply
    8,782.20x = 13,166.90 × 3,585.40
  4. Step 4: Simplify right side
    8,782.20x = 47,208,603.26
  5. Step 5: Solve for x
    x = 47,208,603.26/8,782.20
  6. Step 6: Final answer
    x = 5,375.49

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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.