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Finding the Fourth Proportional to 11,624.34, 16,040.96 and 6,319.12

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Solution

The fourth proportional to 11,624.34, 16,040.96 and 6,319.12 is: 8,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.34 : 16,040.96 = 6,319.12 : x
  2. Step 2: Convert to fraction form
    11,624.34/16,040.96 = 6,319.12/x
  3. Step 3: Cross multiply
    11,624.34x = 16,040.96 × 6,319.12
  4. Step 4: Simplify right side
    11,624.34x = 101,364,751.16
  5. Step 5: Solve for x
    x = 101,364,751.16/11,624.34
  6. Step 6: Final answer
    x = 8,720.04

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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.