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Finding the Fourth Proportional to 7,963.07, 11,945.08 and 2,416.46

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Solution

The fourth proportional to 7,963.07, 11,945.08 and 2,416.46 is: 3,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.07 : 11,945.08 = 2,416.46 : x
  2. Step 2: Convert to fraction form
    7,963.07/11,945.08 = 2,416.46/x
  3. Step 3: Cross multiply
    7,963.07x = 11,945.08 × 2,416.46
  4. Step 4: Simplify right side
    7,963.07x = 28,864,808.02
  5. Step 5: Solve for x
    x = 28,864,808.02/7,963.07
  6. Step 6: Final answer
    x = 3,624.83

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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.