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Finding the Fourth Proportional to 11,433.98, 15,779.74 and 6,398.71

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Solution

The fourth proportional to 11,433.98, 15,779.74 and 6,398.71 is: 8,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.98 : 15,779.74 = 6,398.71 : x
  2. Step 2: Convert to fraction form
    11,433.98/15,779.74 = 6,398.71/x
  3. Step 3: Cross multiply
    11,433.98x = 15,779.74 × 6,398.71
  4. Step 4: Simplify right side
    11,433.98x = 100,969,901.24
  5. Step 5: Solve for x
    x = 100,969,901.24/11,433.98
  6. Step 6: Final answer
    x = 8,830.69

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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.