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Finding the Fourth Proportional to 11,646.44, 16,072 and 6,341.24

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Solution

The fourth proportional to 11,646.44, 16,072 and 6,341.24 is: 8,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.44 : 16,072 = 6,341.24 : x
  2. Step 2: Convert to fraction form
    11,646.44/16,072 = 6,341.24/x
  3. Step 3: Cross multiply
    11,646.44x = 16,072 × 6,341.24
  4. Step 4: Simplify right side
    11,646.44x = 101,916,409.28
  5. Step 5: Solve for x
    x = 101,916,409.28/11,646.44
  6. Step 6: Final answer
    x = 8,750.86

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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.