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Finding the Fourth Proportional to 11,576.96, 15,974.40 and 6,860.48

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Solution

The fourth proportional to 11,576.96, 15,974.40 and 6,860.48 is: 9,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.96 : 15,974.40 = 6,860.48 : x
  2. Step 2: Convert to fraction form
    11,576.96/15,974.40 = 6,860.48/x
  3. Step 3: Cross multiply
    11,576.96x = 15,974.40 × 6,860.48
  4. Step 4: Simplify right side
    11,576.96x = 109,592,051.71
  5. Step 5: Solve for x
    x = 109,592,051.71/11,576.96
  6. Step 6: Final answer
    x = 9,466.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.