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Finding the Fourth Proportional to 7,612.47, 11,419.41 and 2,065.86

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Solution

The fourth proportional to 7,612.47, 11,419.41 and 2,065.86 is: 3,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.47 : 11,419.41 = 2,065.86 : x
  2. Step 2: Convert to fraction form
    7,612.47/11,419.41 = 2,065.86/x
  3. Step 3: Cross multiply
    7,612.47x = 11,419.41 × 2,065.86
  4. Step 4: Simplify right side
    7,612.47x = 23,590,902.34
  5. Step 5: Solve for x
    x = 23,590,902.34/7,612.47
  6. Step 6: Final answer
    x = 3,098.98

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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.