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Finding the Fourth Proportional to 11,509.82, 15,872.72 and 10,650.75

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Solution

The fourth proportional to 11,509.82, 15,872.72 and 10,650.75 is: 14,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.82 : 15,872.72 = 10,650.75 : x
  2. Step 2: Convert to fraction form
    11,509.82/15,872.72 = 10,650.75/x
  3. Step 3: Cross multiply
    11,509.82x = 15,872.72 × 10,650.75
  4. Step 4: Simplify right side
    11,509.82x = 169,056,372.54
  5. Step 5: Solve for x
    x = 169,056,372.54/11,509.82
  6. Step 6: Final answer
    x = 14,688.01

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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.