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Finding the Fourth Proportional to 10,911.40, 15,059.16 and 6,661.58

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Solution

The fourth proportional to 10,911.40, 15,059.16 and 6,661.58 is: 9,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.40 : 15,059.16 = 6,661.58 : x
  2. Step 2: Convert to fraction form
    10,911.40/15,059.16 = 6,661.58/x
  3. Step 3: Cross multiply
    10,911.40x = 15,059.16 × 6,661.58
  4. Step 4: Simplify right side
    10,911.40x = 100,317,799.07
  5. Step 5: Solve for x
    x = 100,317,799.07/10,911.40
  6. Step 6: Final answer
    x = 9,193.86

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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.