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Finding the Fourth Proportional to 7,460.68, 11,191.46 and 3,076.62

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Solution

The fourth proportional to 7,460.68, 11,191.46 and 3,076.62 is: 4,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.68 : 11,191.46 = 3,076.62 : x
  2. Step 2: Convert to fraction form
    7,460.68/11,191.46 = 3,076.62/x
  3. Step 3: Cross multiply
    7,460.68x = 11,191.46 × 3,076.62
  4. Step 4: Simplify right side
    7,460.68x = 34,431,869.67
  5. Step 5: Solve for x
    x = 34,431,869.67/7,460.68
  6. Step 6: Final answer
    x = 4,615.11

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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.