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Finding the Fourth Proportional to 11,455.44, 15,810.64 and 6,676.39

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Solution

The fourth proportional to 11,455.44, 15,810.64 and 6,676.39 is: 9,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.44 : 15,810.64 = 6,676.39 : x
  2. Step 2: Convert to fraction form
    11,455.44/15,810.64 = 6,676.39/x
  3. Step 3: Cross multiply
    11,455.44x = 15,810.64 × 6,676.39
  4. Step 4: Simplify right side
    11,455.44x = 105,557,972.72
  5. Step 5: Solve for x
    x = 105,557,972.72/11,455.44
  6. Step 6: Final answer
    x = 9,214.66

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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.