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Finding the Fourth Proportional to 10,546.92, 14,553.60 and 6,820.92

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Solution

The fourth proportional to 10,546.92, 14,553.60 and 6,820.92 is: 9,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.92 : 14,553.60 = 6,820.92 : x
  2. Step 2: Convert to fraction form
    10,546.92/14,553.60 = 6,820.92/x
  3. Step 3: Cross multiply
    10,546.92x = 14,553.60 × 6,820.92
  4. Step 4: Simplify right side
    10,546.92x = 99,268,941.31
  5. Step 5: Solve for x
    x = 99,268,941.31/10,546.92
  6. Step 6: Final answer
    x = 9,412.13

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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.