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Finding the Fourth Proportional to 12,741.05, 17,582.05 and 7,076.16

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Solution

The fourth proportional to 12,741.05, 17,582.05 and 7,076.16 is: 9,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.05 : 17,582.05 = 7,076.16 : x
  2. Step 2: Convert to fraction form
    12,741.05/17,582.05 = 7,076.16/x
  3. Step 3: Cross multiply
    12,741.05x = 17,582.05 × 7,076.16
  4. Step 4: Simplify right side
    12,741.05x = 124,413,460.57
  5. Step 5: Solve for x
    x = 124,413,460.57/12,741.05
  6. Step 6: Final answer
    x = 9,764.77

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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.