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Finding the Fourth Proportional to 8,024.32, 11,057.76 and 5,782.24

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Solution

The fourth proportional to 8,024.32, 11,057.76 and 5,782.24 is: 7,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.32 : 11,057.76 = 5,782.24 : x
  2. Step 2: Convert to fraction form
    8,024.32/11,057.76 = 5,782.24/x
  3. Step 3: Cross multiply
    8,024.32x = 11,057.76 × 5,782.24
  4. Step 4: Simplify right side
    8,024.32x = 63,938,622.18
  5. Step 5: Solve for x
    x = 63,938,622.18/8,024.32
  6. Step 6: Final answer
    x = 7,968.10

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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.