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Finding the Fourth Proportional to 7,038.50, 10,557.34 and 1,844.37

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Solution

The fourth proportional to 7,038.50, 10,557.34 and 1,844.37 is: 2,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.50 : 10,557.34 = 1,844.37 : x
  2. Step 2: Convert to fraction form
    7,038.50/10,557.34 = 1,844.37/x
  3. Step 3: Cross multiply
    7,038.50x = 10,557.34 × 1,844.37
  4. Step 4: Simplify right side
    7,038.50x = 19,471,636.56
  5. Step 5: Solve for x
    x = 19,471,636.56/7,038.50
  6. Step 6: Final answer
    x = 2,766.45

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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.