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Finding the Fourth Proportional to 11,635.42, 16,052.61 and 7,446.10

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Solution

The fourth proportional to 11,635.42, 16,052.61 and 7,446.10 is: 10,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.42 : 16,052.61 = 7,446.10 : x
  2. Step 2: Convert to fraction form
    11,635.42/16,052.61 = 7,446.10/x
  3. Step 3: Cross multiply
    11,635.42x = 16,052.61 × 7,446.10
  4. Step 4: Simplify right side
    11,635.42x = 119,529,339.32
  5. Step 5: Solve for x
    x = 119,529,339.32/11,635.42
  6. Step 6: Final answer
    x = 10,272.89

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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.