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Finding the Fourth Proportional to 11,313.50, 16,966.31 and 4,648.10

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Solution

The fourth proportional to 11,313.50, 16,966.31 and 4,648.10 is: 6,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.50 : 16,966.31 = 4,648.10 : x
  2. Step 2: Convert to fraction form
    11,313.50/16,966.31 = 4,648.10/x
  3. Step 3: Cross multiply
    11,313.50x = 16,966.31 × 4,648.10
  4. Step 4: Simplify right side
    11,313.50x = 78,860,997.44
  5. Step 5: Solve for x
    x = 78,860,997.44/11,313.50
  6. Step 6: Final answer
    x = 6,970.52

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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.