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Finding the Fourth Proportional to 10,810.44, 16,204.50 and 3,784.32

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Solution

The fourth proportional to 10,810.44, 16,204.50 and 3,784.32 is: 5,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.44 : 16,204.50 = 3,784.32 : x
  2. Step 2: Convert to fraction form
    10,810.44/16,204.50 = 3,784.32/x
  3. Step 3: Cross multiply
    10,810.44x = 16,204.50 × 3,784.32
  4. Step 4: Simplify right side
    10,810.44x = 61,323,013.44
  5. Step 5: Solve for x
    x = 61,323,013.44/10,810.44
  6. Step 6: Final answer
    x = 5,672.57

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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.