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Finding the Fourth Proportional to 10,546.20, 14,550.66 and 8,775

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Solution

The fourth proportional to 10,546.20, 14,550.66 and 8,775 is: 12,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.20 : 14,550.66 = 8,775 : x
  2. Step 2: Convert to fraction form
    10,546.20/14,550.66 = 8,775/x
  3. Step 3: Cross multiply
    10,546.20x = 14,550.66 × 8,775
  4. Step 4: Simplify right side
    10,546.20x = 127,682,041.50
  5. Step 5: Solve for x
    x = 127,682,041.50/10,546.20
  6. Step 6: Final answer
    x = 12,106.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.