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Finding the Fourth Proportional to 6,033.51, 8,324.10 and 4,774.77

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Solution

The fourth proportional to 6,033.51, 8,324.10 and 4,774.77 is: 6,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.51 : 8,324.10 = 4,774.77 : x
  2. Step 2: Convert to fraction form
    6,033.51/8,324.10 = 4,774.77/x
  3. Step 3: Cross multiply
    6,033.51x = 8,324.10 × 4,774.77
  4. Step 4: Simplify right side
    6,033.51x = 39,745,662.96
  5. Step 5: Solve for x
    x = 39,745,662.96/6,033.51
  6. Step 6: Final answer
    x = 6,587.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.