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Finding the Fourth Proportional to 11,779.61, 16,256.00 and 6,474.38

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Solution

The fourth proportional to 11,779.61, 16,256.00 and 6,474.38 is: 8,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.61 : 16,256.00 = 6,474.38 : x
  2. Step 2: Convert to fraction form
    11,779.61/16,256.00 = 6,474.38/x
  3. Step 3: Cross multiply
    11,779.61x = 16,256.00 × 6,474.38
  4. Step 4: Simplify right side
    11,779.61x = 105,247,456.19
  5. Step 5: Solve for x
    x = 105,247,456.19/11,779.61
  6. Step 6: Final answer
    x = 8,934.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.