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Finding the Fourth Proportional to 11,434.22, 15,779.83 and 6,398.14

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Solution

The fourth proportional to 11,434.22, 15,779.83 and 6,398.14 is: 8,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.22 : 15,779.83 = 6,398.14 : x
  2. Step 2: Convert to fraction form
    11,434.22/15,779.83 = 6,398.14/x
  3. Step 3: Cross multiply
    11,434.22x = 15,779.83 × 6,398.14
  4. Step 4: Simplify right side
    11,434.22x = 100,961,561.52
  5. Step 5: Solve for x
    x = 100,961,561.52/11,434.22
  6. Step 6: Final answer
    x = 8,829.77

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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.