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Finding the Fourth Proportional to 11,548.16, 15,936 and 6,832.32

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Solution

The fourth proportional to 11,548.16, 15,936 and 6,832.32 is: 9,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.16 : 15,936 = 6,832.32 : x
  2. Step 2: Convert to fraction form
    11,548.16/15,936 = 6,832.32/x
  3. Step 3: Cross multiply
    11,548.16x = 15,936 × 6,832.32
  4. Step 4: Simplify right side
    11,548.16x = 108,879,851.52
  5. Step 5: Solve for x
    x = 108,879,851.52/11,548.16
  6. Step 6: Final answer
    x = 9,428.33

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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.