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Finding the Fourth Proportional to 10,269.44, 15,393.12 and 4,349.60

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Solution

The fourth proportional to 10,269.44, 15,393.12 and 4,349.60 is: 6,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.44 : 15,393.12 = 4,349.60 : x
  2. Step 2: Convert to fraction form
    10,269.44/15,393.12 = 4,349.60/x
  3. Step 3: Cross multiply
    10,269.44x = 15,393.12 × 4,349.60
  4. Step 4: Simplify right side
    10,269.44x = 66,953,914.75
  5. Step 5: Solve for x
    x = 66,953,914.75/10,269.44
  6. Step 6: Final answer
    x = 6,519.72

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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.