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Finding the Fourth Proportional to 11,779.95, 16,256.42 and 6,474.85

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Solution

The fourth proportional to 11,779.95, 16,256.42 and 6,474.85 is: 8,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.95 : 16,256.42 = 6,474.85 : x
  2. Step 2: Convert to fraction form
    11,779.95/16,256.42 = 6,474.85/x
  3. Step 3: Cross multiply
    11,779.95x = 16,256.42 × 6,474.85
  4. Step 4: Simplify right side
    11,779.95x = 105,257,881.04
  5. Step 5: Solve for x
    x = 105,257,881.04/11,779.95
  6. Step 6: Final answer
    x = 8,935.34

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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.