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Finding the Fourth Proportional to 11,434.68, 15,780.11 and 8,083.40

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Solution

The fourth proportional to 11,434.68, 15,780.11 and 8,083.40 is: 11,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.68 : 15,780.11 = 8,083.40 : x
  2. Step 2: Convert to fraction form
    11,434.68/15,780.11 = 8,083.40/x
  3. Step 3: Cross multiply
    11,434.68x = 15,780.11 × 8,083.40
  4. Step 4: Simplify right side
    11,434.68x = 127,556,821.86
  5. Step 5: Solve for x
    x = 127,556,821.86/11,434.68
  6. Step 6: Final answer
    x = 11,155.26

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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.