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Finding the Fourth Proportional to 12,741.44, 17,582.86 and 7,076.04

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Solution

The fourth proportional to 12,741.44, 17,582.86 and 7,076.04 is: 9,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.44 : 17,582.86 = 7,076.04 : x
  2. Step 2: Convert to fraction form
    12,741.44/17,582.86 = 7,076.04/x
  3. Step 3: Cross multiply
    12,741.44x = 17,582.86 × 7,076.04
  4. Step 4: Simplify right side
    12,741.44x = 124,417,020.67
  5. Step 5: Solve for x
    x = 124,417,020.67/12,741.44
  6. Step 6: Final answer
    x = 9,764.75

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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.