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Finding the Fourth Proportional to 28,586.80, 42,880.29 and 7,239.50

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Solution

The fourth proportional to 28,586.80, 42,880.29 and 7,239.50 is: 10,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586.80 : 42,880.29 = 7,239.50 : x
  2. Step 2: Convert to fraction form
    28,586.80/42,880.29 = 7,239.50/x
  3. Step 3: Cross multiply
    28,586.80x = 42,880.29 × 7,239.50
  4. Step 4: Simplify right side
    28,586.80x = 310,431,993.80
  5. Step 5: Solve for x
    x = 310,431,993.80/28,586.80
  6. Step 6: Final answer
    x = 10,859.28

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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.