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Finding the Fourth Proportional to 12,590.33, 17,374.77 and 6,847.84

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Solution

The fourth proportional to 12,590.33, 17,374.77 and 6,847.84 is: 9,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.33 : 17,374.77 = 6,847.84 : x
  2. Step 2: Convert to fraction form
    12,590.33/17,374.77 = 6,847.84/x
  3. Step 3: Cross multiply
    12,590.33x = 17,374.77 × 6,847.84
  4. Step 4: Simplify right side
    12,590.33x = 118,979,558.12
  5. Step 5: Solve for x
    x = 118,979,558.12/12,590.33
  6. Step 6: Final answer
    x = 9,450.07

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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.