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Finding the Fourth Proportional to 8,050, 11,103.39 and 7,779.06

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Solution

The fourth proportional to 8,050, 11,103.39 and 7,779.06 is: 10,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050 : 11,103.39 = 7,779.06 : x
  2. Step 2: Convert to fraction form
    8,050/11,103.39 = 7,779.06/x
  3. Step 3: Cross multiply
    8,050x = 11,103.39 × 7,779.06
  4. Step 4: Simplify right side
    8,050x = 86,373,937.01
  5. Step 5: Solve for x
    x = 86,373,937.01/8,050
  6. Step 6: Final answer
    x = 10,729.68

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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.