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Finding the Fourth Proportional to 11,604.56, 16,011.96 and 7,357.28

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Solution

The fourth proportional to 11,604.56, 16,011.96 and 7,357.28 is: 10,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.56 : 16,011.96 = 7,357.28 : x
  2. Step 2: Convert to fraction form
    11,604.56/16,011.96 = 7,357.28/x
  3. Step 3: Cross multiply
    11,604.56x = 16,011.96 × 7,357.28
  4. Step 4: Simplify right side
    11,604.56x = 117,804,473.07
  5. Step 5: Solve for x
    x = 117,804,473.07/11,604.56
  6. Step 6: Final answer
    x = 10,151.57

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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.