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Finding the Fourth Proportional to 8,738.40, 13,114.80 and 4,065.60

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Solution

The fourth proportional to 8,738.40, 13,114.80 and 4,065.60 is: 6,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.40 : 13,114.80 = 4,065.60 : x
  2. Step 2: Convert to fraction form
    8,738.40/13,114.80 = 4,065.60/x
  3. Step 3: Cross multiply
    8,738.40x = 13,114.80 × 4,065.60
  4. Step 4: Simplify right side
    8,738.40x = 53,319,530.88
  5. Step 5: Solve for x
    x = 53,319,530.88/8,738.40
  6. Step 6: Final answer
    x = 6,101.75

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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.