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Finding the Fourth Proportional to 11,576.30, 17,377.41 and 7,688.30

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Solution

The fourth proportional to 11,576.30, 17,377.41 and 7,688.30 is: 11,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.30 : 17,377.41 = 7,688.30 : x
  2. Step 2: Convert to fraction form
    11,576.30/17,377.41 = 7,688.30/x
  3. Step 3: Cross multiply
    11,576.30x = 17,377.41 × 7,688.30
  4. Step 4: Simplify right side
    11,576.30x = 133,602,741.30
  5. Step 5: Solve for x
    x = 133,602,741.30/11,576.30
  6. Step 6: Final answer
    x = 11,541.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.