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Finding the Fourth Proportional to 11,779.65, 16,256.97 and 6,475.59

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Solution

The fourth proportional to 11,779.65, 16,256.97 and 6,475.59 is: 8,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.65 : 16,256.97 = 6,475.59 : x
  2. Step 2: Convert to fraction form
    11,779.65/16,256.97 = 6,475.59/x
  3. Step 3: Cross multiply
    11,779.65x = 16,256.97 × 6,475.59
  4. Step 4: Simplify right side
    11,779.65x = 105,273,472.36
  5. Step 5: Solve for x
    x = 105,273,472.36/11,779.65
  6. Step 6: Final answer
    x = 8,936.89

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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.