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Finding the Fourth Proportional to 10,755.20, 14,834.32 and 6,564.80

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Solution

The fourth proportional to 10,755.20, 14,834.32 and 6,564.80 is: 9,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.20 : 14,834.32 = 6,564.80 : x
  2. Step 2: Convert to fraction form
    10,755.20/14,834.32 = 6,564.80/x
  3. Step 3: Cross multiply
    10,755.20x = 14,834.32 × 6,564.80
  4. Step 4: Simplify right side
    10,755.20x = 97,384,343.94
  5. Step 5: Solve for x
    x = 97,384,343.94/10,755.20
  6. Step 6: Final answer
    x = 9,054.63

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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.