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Finding the Fourth Proportional to 11,666.86, 16,100.34 and 6,361.76

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Solution

The fourth proportional to 11,666.86, 16,100.34 and 6,361.76 is: 8,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.86 : 16,100.34 = 6,361.76 : x
  2. Step 2: Convert to fraction form
    11,666.86/16,100.34 = 6,361.76/x
  3. Step 3: Cross multiply
    11,666.86x = 16,100.34 × 6,361.76
  4. Step 4: Simplify right side
    11,666.86x = 102,426,539.25
  5. Step 5: Solve for x
    x = 102,426,539.25/11,666.86
  6. Step 6: Final answer
    x = 8,779.27

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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.