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Finding the Fourth Proportional to 10,615.09, 15,917.16 and 4,766.69

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Solution

The fourth proportional to 10,615.09, 15,917.16 and 4,766.69 is: 7,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.09 : 15,917.16 = 4,766.69 : x
  2. Step 2: Convert to fraction form
    10,615.09/15,917.16 = 4,766.69/x
  3. Step 3: Cross multiply
    10,615.09x = 15,917.16 × 4,766.69
  4. Step 4: Simplify right side
    10,615.09x = 75,872,167.40
  5. Step 5: Solve for x
    x = 75,872,167.40/10,615.09
  6. Step 6: Final answer
    x = 7,147.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.