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Finding the Fourth Proportional to 10,911.60, 15,059.97 and 6,435.09

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Solution

The fourth proportional to 10,911.60, 15,059.97 and 6,435.09 is: 8,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.60 : 15,059.97 = 6,435.09 : x
  2. Step 2: Convert to fraction form
    10,911.60/15,059.97 = 6,435.09/x
  3. Step 3: Cross multiply
    10,911.60x = 15,059.97 × 6,435.09
  4. Step 4: Simplify right side
    10,911.60x = 96,912,262.35
  5. Step 5: Solve for x
    x = 96,912,262.35/10,911.60
  6. Step 6: Final answer
    x = 8,881.58

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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.