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Finding the Fourth Proportional to 7,780.31, 11,671.17 and 3,099.18

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Solution

The fourth proportional to 7,780.31, 11,671.17 and 3,099.18 is: 4,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.31 : 11,671.17 = 3,099.18 : x
  2. Step 2: Convert to fraction form
    7,780.31/11,671.17 = 3,099.18/x
  3. Step 3: Cross multiply
    7,780.31x = 11,671.17 × 3,099.18
  4. Step 4: Simplify right side
    7,780.31x = 36,171,056.64
  5. Step 5: Solve for x
    x = 36,171,056.64/7,780.31
  6. Step 6: Final answer
    x = 4,649.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.