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Finding the Fourth Proportional to 10,770.68, 16,160.64 and 4,532.10

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Solution

The fourth proportional to 10,770.68, 16,160.64 and 4,532.10 is: 6,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.68 : 16,160.64 = 4,532.10 : x
  2. Step 2: Convert to fraction form
    10,770.68/16,160.64 = 4,532.10/x
  3. Step 3: Cross multiply
    10,770.68x = 16,160.64 × 4,532.10
  4. Step 4: Simplify right side
    10,770.68x = 73,241,636.54
  5. Step 5: Solve for x
    x = 73,241,636.54/10,770.68
  6. Step 6: Final answer
    x = 6,800.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.