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Finding the Fourth Proportional to 7,138.33, 10,707.49 and 3,240

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Solution

The fourth proportional to 7,138.33, 10,707.49 and 3,240 is: 4,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.33 : 10,707.49 = 3,240 : x
  2. Step 2: Convert to fraction form
    7,138.33/10,707.49 = 3,240/x
  3. Step 3: Cross multiply
    7,138.33x = 10,707.49 × 3,240
  4. Step 4: Simplify right side
    7,138.33x = 34,692,271.65
  5. Step 5: Solve for x
    x = 34,692,271.65/7,138.33
  6. Step 6: Final answer
    x = 4,860

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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.