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Finding the Fourth Proportional to 10,911.58, 15,059.69 and 6,435.82

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Solution

The fourth proportional to 10,911.58, 15,059.69 and 6,435.82 is: 8,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.58 : 15,059.69 = 6,435.82 : x
  2. Step 2: Convert to fraction form
    10,911.58/15,059.69 = 6,435.82/x
  3. Step 3: Cross multiply
    10,911.58x = 15,059.69 × 6,435.82
  4. Step 4: Simplify right side
    10,911.58x = 96,921,454.10
  5. Step 5: Solve for x
    x = 96,921,454.10/10,911.58
  6. Step 6: Final answer
    x = 8,882.44

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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.