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Finding the Fourth Proportional to 11,779.83, 16,256.14 and 6,474.74

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Solution

The fourth proportional to 11,779.83, 16,256.14 and 6,474.74 is: 8,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.83 : 16,256.14 = 6,474.74 : x
  2. Step 2: Convert to fraction form
    11,779.83/16,256.14 = 6,474.74/x
  3. Step 3: Cross multiply
    11,779.83x = 16,256.14 × 6,474.74
  4. Step 4: Simplify right side
    11,779.83x = 105,254,218.86
  5. Step 5: Solve for x
    x = 105,254,218.86/11,779.83
  6. Step 6: Final answer
    x = 8,935.12

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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.