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Finding the Fourth Proportional to 11,657.94, 16,087.17 and 6,877.63

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Solution

The fourth proportional to 11,657.94, 16,087.17 and 6,877.63 is: 9,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.94 : 16,087.17 = 6,877.63 : x
  2. Step 2: Convert to fraction form
    11,657.94/16,087.17 = 6,877.63/x
  3. Step 3: Cross multiply
    11,657.94x = 16,087.17 × 6,877.63
  4. Step 4: Simplify right side
    11,657.94x = 110,641,603.01
  5. Step 5: Solve for x
    x = 110,641,603.01/11,657.94
  6. Step 6: Final answer
    x = 9,490.66

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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.