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Finding the Fourth Proportional to 7,461.54, 11,189.48 and 3,076.47

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Solution

The fourth proportional to 7,461.54, 11,189.48 and 3,076.47 is: 4,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.54 : 11,189.48 = 3,076.47 : x
  2. Step 2: Convert to fraction form
    7,461.54/11,189.48 = 3,076.47/x
  3. Step 3: Cross multiply
    7,461.54x = 11,189.48 × 3,076.47
  4. Step 4: Simplify right side
    7,461.54x = 34,424,084.15
  5. Step 5: Solve for x
    x = 34,424,084.15/7,461.54
  6. Step 6: Final answer
    x = 4,613.54

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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.