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Finding the Fourth Proportional to 6,368.10, 8,782.37 and 4,243.58

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Solution

The fourth proportional to 6,368.10, 8,782.37 and 4,243.58 is: 5,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.10 : 8,782.37 = 4,243.58 : x
  2. Step 2: Convert to fraction form
    6,368.10/8,782.37 = 4,243.58/x
  3. Step 3: Cross multiply
    6,368.10x = 8,782.37 × 4,243.58
  4. Step 4: Simplify right side
    6,368.10x = 37,268,624.55
  5. Step 5: Solve for x
    x = 37,268,624.55/6,368.10
  6. Step 6: Final answer
    x = 5,852.39

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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.