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Finding the Fourth Proportional to 11,576.76, 15,976.62 and 6,541.77

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Solution

The fourth proportional to 11,576.76, 15,976.62 and 6,541.77 is: 9,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.76 : 15,976.62 = 6,541.77 : x
  2. Step 2: Convert to fraction form
    11,576.76/15,976.62 = 6,541.77/x
  3. Step 3: Cross multiply
    11,576.76x = 15,976.62 × 6,541.77
  4. Step 4: Simplify right side
    11,576.76x = 104,515,373.42
  5. Step 5: Solve for x
    x = 104,515,373.42/11,576.76
  6. Step 6: Final answer
    x = 9,028.03

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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.