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Finding the Fourth Proportional to 10,911.89, 15,059.01 and 6,438.26

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Solution

The fourth proportional to 10,911.89, 15,059.01 and 6,438.26 is: 8,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.89 : 15,059.01 = 6,438.26 : x
  2. Step 2: Convert to fraction form
    10,911.89/15,059.01 = 6,438.26/x
  3. Step 3: Cross multiply
    10,911.89x = 15,059.01 × 6,438.26
  4. Step 4: Simplify right side
    10,911.89x = 96,953,821.72
  5. Step 5: Solve for x
    x = 96,953,821.72/10,911.89
  6. Step 6: Final answer
    x = 8,885.15

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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.