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Finding the Fourth Proportional to 11,653.52, 16,082.32 and 6,686.48

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Solution

The fourth proportional to 11,653.52, 16,082.32 and 6,686.48 is: 9,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.52 : 16,082.32 = 6,686.48 : x
  2. Step 2: Convert to fraction form
    11,653.52/16,082.32 = 6,686.48/x
  3. Step 3: Cross multiply
    11,653.52x = 16,082.32 × 6,686.48
  4. Step 4: Simplify right side
    11,653.52x = 107,534,111.03
  5. Step 5: Solve for x
    x = 107,534,111.03/11,653.52
  6. Step 6: Final answer
    x = 9,227.61

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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.