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Finding the Fourth Proportional to 8,304.12, 11,446.72 and 5,646.92

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Solution

The fourth proportional to 8,304.12, 11,446.72 and 5,646.92 is: 7,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.12 : 11,446.72 = 5,646.92 : x
  2. Step 2: Convert to fraction form
    8,304.12/11,446.72 = 5,646.92/x
  3. Step 3: Cross multiply
    8,304.12x = 11,446.72 × 5,646.92
  4. Step 4: Simplify right side
    8,304.12x = 64,638,640.75
  5. Step 5: Solve for x
    x = 64,638,640.75/8,304.12
  6. Step 6: Final answer
    x = 7,783.92

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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.