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Finding the Fourth Proportional to 7,829.03, 11,745.36 and 2,564.01

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Solution

The fourth proportional to 7,829.03, 11,745.36 and 2,564.01 is: 3,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.03 : 11,745.36 = 2,564.01 : x
  2. Step 2: Convert to fraction form
    7,829.03/11,745.36 = 2,564.01/x
  3. Step 3: Cross multiply
    7,829.03x = 11,745.36 × 2,564.01
  4. Step 4: Simplify right side
    7,829.03x = 30,115,161.77
  5. Step 5: Solve for x
    x = 30,115,161.77/7,829.03
  6. Step 6: Final answer
    x = 3,846.60

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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.