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Finding the Fourth Proportional to 8,750, 12,075 and 5,024

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Solution

The fourth proportional to 8,750, 12,075 and 5,024 is: 6,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750 : 12,075 = 5,024 : x
  2. Step 2: Convert to fraction form
    8,750/12,075 = 5,024/x
  3. Step 3: Cross multiply
    8,750x = 12,075 × 5,024
  4. Step 4: Simplify right side
    8,750x = 60,664,800
  5. Step 5: Solve for x
    x = 60,664,800/8,750
  6. Step 6: Final answer
    x = 6,933.12

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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.