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Finding the Fourth Proportional to 7,504.50, 11,256.78 and 2,032.50

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Solution

The fourth proportional to 7,504.50, 11,256.78 and 2,032.50 is: 3,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.50 : 11,256.78 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    7,504.50/11,256.78 = 2,032.50/x
  3. Step 3: Cross multiply
    7,504.50x = 11,256.78 × 2,032.50
  4. Step 4: Simplify right side
    7,504.50x = 22,879,405.35
  5. Step 5: Solve for x
    x = 22,879,405.35/7,504.50
  6. Step 6: Final answer
    x = 3,048.76

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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.