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Finding the Fourth Proportional to 6,282.36, 8,665.38 and 4,043.52

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Solution

The fourth proportional to 6,282.36, 8,665.38 and 4,043.52 is: 5,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.36 : 8,665.38 = 4,043.52 : x
  2. Step 2: Convert to fraction form
    6,282.36/8,665.38 = 4,043.52/x
  3. Step 3: Cross multiply
    6,282.36x = 8,665.38 × 4,043.52
  4. Step 4: Simplify right side
    6,282.36x = 35,038,637.34
  5. Step 5: Solve for x
    x = 35,038,637.34/6,282.36
  6. Step 6: Final answer
    x = 5,577.30

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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.