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Finding the Fourth Proportional to 11,461.50, 15,814.44 and 7,685.28

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Solution

The fourth proportional to 11,461.50, 15,814.44 and 7,685.28 is: 10,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.50 : 15,814.44 = 7,685.28 : x
  2. Step 2: Convert to fraction form
    11,461.50/15,814.44 = 7,685.28/x
  3. Step 3: Cross multiply
    11,461.50x = 15,814.44 × 7,685.28
  4. Step 4: Simplify right side
    11,461.50x = 121,538,399.44
  5. Step 5: Solve for x
    x = 121,538,399.44/11,461.50
  6. Step 6: Final answer
    x = 10,604.06

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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.