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Finding the Fourth Proportional to 10,783.40, 16,149.16 and 7,310.12

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Solution

The fourth proportional to 10,783.40, 16,149.16 and 7,310.12 is: 10,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.40 : 16,149.16 = 7,310.12 : x
  2. Step 2: Convert to fraction form
    10,783.40/16,149.16 = 7,310.12/x
  3. Step 3: Cross multiply
    10,783.40x = 16,149.16 × 7,310.12
  4. Step 4: Simplify right side
    10,783.40x = 118,052,297.50
  5. Step 5: Solve for x
    x = 118,052,297.50/10,783.40
  6. Step 6: Final answer
    x = 10,947.60

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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.