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Finding the Fourth Proportional to 8,764.49, 12,090.50 and 5,779.24

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Solution

The fourth proportional to 8,764.49, 12,090.50 and 5,779.24 is: 7,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.49 : 12,090.50 = 5,779.24 : x
  2. Step 2: Convert to fraction form
    8,764.49/12,090.50 = 5,779.24/x
  3. Step 3: Cross multiply
    8,764.49x = 12,090.50 × 5,779.24
  4. Step 4: Simplify right side
    8,764.49x = 69,873,863.77
  5. Step 5: Solve for x
    x = 69,873,863.77/8,764.49
  6. Step 6: Final answer
    x = 7,972.38

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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.