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Finding the Fourth Proportional to 8,634.69, 11,916.12 and 4,857.87

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Solution

The fourth proportional to 8,634.69, 11,916.12 and 4,857.87 is: 6,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.69 : 11,916.12 = 4,857.87 : x
  2. Step 2: Convert to fraction form
    8,634.69/11,916.12 = 4,857.87/x
  3. Step 3: Cross multiply
    8,634.69x = 11,916.12 × 4,857.87
  4. Step 4: Simplify right side
    8,634.69x = 57,886,961.86
  5. Step 5: Solve for x
    x = 57,886,961.86/8,634.69
  6. Step 6: Final answer
    x = 6,704.00

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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.