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Finding the Fourth Proportional to 10,051.44, 15,078.53 and 3,475.86

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Solution

The fourth proportional to 10,051.44, 15,078.53 and 3,475.86 is: 5,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.44 : 15,078.53 = 3,475.86 : x
  2. Step 2: Convert to fraction form
    10,051.44/15,078.53 = 3,475.86/x
  3. Step 3: Cross multiply
    10,051.44x = 15,078.53 × 3,475.86
  4. Step 4: Simplify right side
    10,051.44x = 52,410,859.29
  5. Step 5: Solve for x
    x = 52,410,859.29/10,051.44
  6. Step 6: Final answer
    x = 5,214.26

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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.