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Finding the Fourth Proportional to 7,281.92, 10,048.38 and 4,137.50

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Solution

The fourth proportional to 7,281.92, 10,048.38 and 4,137.50 is: 5,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.92 : 10,048.38 = 4,137.50 : x
  2. Step 2: Convert to fraction form
    7,281.92/10,048.38 = 4,137.50/x
  3. Step 3: Cross multiply
    7,281.92x = 10,048.38 × 4,137.50
  4. Step 4: Simplify right side
    7,281.92x = 41,575,172.25
  5. Step 5: Solve for x
    x = 41,575,172.25/7,281.92
  6. Step 6: Final answer
    x = 5,709.37

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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.