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Finding the Fourth Proportional to 11,433.85, 15,779.45 and 6,398.65

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Solution

The fourth proportional to 11,433.85, 15,779.45 and 6,398.65 is: 8,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.85 : 15,779.45 = 6,398.65 : x
  2. Step 2: Convert to fraction form
    11,433.85/15,779.45 = 6,398.65/x
  3. Step 3: Cross multiply
    11,433.85x = 15,779.45 × 6,398.65
  4. Step 4: Simplify right side
    11,433.85x = 100,967,145.75
  5. Step 5: Solve for x
    x = 100,967,145.75/11,433.85
  6. Step 6: Final answer
    x = 8,830.55

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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.