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Finding the Fourth Proportional to 7,380.35, 11,075.07 and 4,266.50

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Solution

The fourth proportional to 7,380.35, 11,075.07 and 4,266.50 is: 6,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.35 : 11,075.07 = 4,266.50 : x
  2. Step 2: Convert to fraction form
    7,380.35/11,075.07 = 4,266.50/x
  3. Step 3: Cross multiply
    7,380.35x = 11,075.07 × 4,266.50
  4. Step 4: Simplify right side
    7,380.35x = 47,251,786.16
  5. Step 5: Solve for x
    x = 47,251,786.16/7,380.35
  6. Step 6: Final answer
    x = 6,402.38

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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.