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Finding the Fourth Proportional to 7,833.85, 11,746.04 and 3,084.32

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Solution

The fourth proportional to 7,833.85, 11,746.04 and 3,084.32 is: 4,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.85 : 11,746.04 = 3,084.32 : x
  2. Step 2: Convert to fraction form
    7,833.85/11,746.04 = 3,084.32/x
  3. Step 3: Cross multiply
    7,833.85x = 11,746.04 × 3,084.32
  4. Step 4: Simplify right side
    7,833.85x = 36,228,560.04
  5. Step 5: Solve for x
    x = 36,228,560.04/7,833.85
  6. Step 6: Final answer
    x = 4,624.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.