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Finding the Fourth Proportional to 7,963.38, 11,945.09 and 2,416.77

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Solution

The fourth proportional to 7,963.38, 11,945.09 and 2,416.77 is: 3,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.38 : 11,945.09 = 2,416.77 : x
  2. Step 2: Convert to fraction form
    7,963.38/11,945.09 = 2,416.77/x
  3. Step 3: Cross multiply
    7,963.38x = 11,945.09 × 2,416.77
  4. Step 4: Simplify right side
    7,963.38x = 28,868,541.20
  5. Step 5: Solve for x
    x = 28,868,541.20/7,963.38
  6. Step 6: Final answer
    x = 3,625.16

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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.