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Finding the Fourth Proportional to 7,510.50, 11,259.54 and 3,131.10

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Solution

The fourth proportional to 7,510.50, 11,259.54 and 3,131.10 is: 4,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.50 : 11,259.54 = 3,131.10 : x
  2. Step 2: Convert to fraction form
    7,510.50/11,259.54 = 3,131.10/x
  3. Step 3: Cross multiply
    7,510.50x = 11,259.54 × 3,131.10
  4. Step 4: Simplify right side
    7,510.50x = 35,254,745.69
  5. Step 5: Solve for x
    x = 35,254,745.69/7,510.50
  6. Step 6: Final answer
    x = 4,694.06

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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.