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Finding the Fourth Proportional to 11,957.42, 16,501.20 and 6,653.46

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Solution

The fourth proportional to 11,957.42, 16,501.20 and 6,653.46 is: 9,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.42 : 16,501.20 = 6,653.46 : x
  2. Step 2: Convert to fraction form
    11,957.42/16,501.20 = 6,653.46/x
  3. Step 3: Cross multiply
    11,957.42x = 16,501.20 × 6,653.46
  4. Step 4: Simplify right side
    11,957.42x = 109,790,074.15
  5. Step 5: Solve for x
    x = 109,790,074.15/11,957.42
  6. Step 6: Final answer
    x = 9,181.75

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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.