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Finding the Fourth Proportional to 10,636.31, 14,676.83 and 6,159.45

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Solution

The fourth proportional to 10,636.31, 14,676.83 and 6,159.45 is: 8,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.31 : 14,676.83 = 6,159.45 : x
  2. Step 2: Convert to fraction form
    10,636.31/14,676.83 = 6,159.45/x
  3. Step 3: Cross multiply
    10,636.31x = 14,676.83 × 6,159.45
  4. Step 4: Simplify right side
    10,636.31x = 90,401,215.94
  5. Step 5: Solve for x
    x = 90,401,215.94/10,636.31
  6. Step 6: Final answer
    x = 8,499.31

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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.