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Finding the Fourth Proportional to 7,349.50, 11,024.43 and 1,877.50

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Solution

The fourth proportional to 7,349.50, 11,024.43 and 1,877.50 is: 2,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.50 : 11,024.43 = 1,877.50 : x
  2. Step 2: Convert to fraction form
    7,349.50/11,024.43 = 1,877.50/x
  3. Step 3: Cross multiply
    7,349.50x = 11,024.43 × 1,877.50
  4. Step 4: Simplify right side
    7,349.50x = 20,698,367.33
  5. Step 5: Solve for x
    x = 20,698,367.33/7,349.50
  6. Step 6: Final answer
    x = 2,816.30

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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.