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Finding the Fourth Proportional to 10,615.34, 15,917.54 and 4,766.94

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Solution

The fourth proportional to 10,615.34, 15,917.54 and 4,766.94 is: 7,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.34 : 15,917.54 = 4,766.94 : x
  2. Step 2: Convert to fraction form
    10,615.34/15,917.54 = 4,766.94/x
  3. Step 3: Cross multiply
    10,615.34x = 15,917.54 × 4,766.94
  4. Step 4: Simplify right side
    10,615.34x = 75,877,958.13
  5. Step 5: Solve for x
    x = 75,877,958.13/10,615.34
  6. Step 6: Final answer
    x = 7,147.95

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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.