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Finding the Fourth Proportional to 10,615.37, 15,851.25 and 9,231.89

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Solution

The fourth proportional to 10,615.37, 15,851.25 and 9,231.89 is: 13,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.37 : 15,851.25 = 9,231.89 : x
  2. Step 2: Convert to fraction form
    10,615.37/15,851.25 = 9,231.89/x
  3. Step 3: Cross multiply
    10,615.37x = 15,851.25 × 9,231.89
  4. Step 4: Simplify right side
    10,615.37x = 146,336,917.11
  5. Step 5: Solve for x
    x = 146,336,917.11/10,615.37
  6. Step 6: Final answer
    x = 13,785.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.