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Finding the Fourth Proportional to 8,782.22, 12,111.37 and 5,756.24

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Solution

The fourth proportional to 8,782.22, 12,111.37 and 5,756.24 is: 7,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.22 : 12,111.37 = 5,756.24 : x
  2. Step 2: Convert to fraction form
    8,782.22/12,111.37 = 5,756.24/x
  3. Step 3: Cross multiply
    8,782.22x = 12,111.37 × 5,756.24
  4. Step 4: Simplify right side
    8,782.22x = 69,715,952.45
  5. Step 5: Solve for x
    x = 69,715,952.45/8,782.22
  6. Step 6: Final answer
    x = 7,938.31

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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.