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Finding the Fourth Proportional to 8,001.42, 11,041.25 and 4,464.86

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Solution

The fourth proportional to 8,001.42, 11,041.25 and 4,464.86 is: 6,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.42 : 11,041.25 = 4,464.86 : x
  2. Step 2: Convert to fraction form
    8,001.42/11,041.25 = 4,464.86/x
  3. Step 3: Cross multiply
    8,001.42x = 11,041.25 × 4,464.86
  4. Step 4: Simplify right side
    8,001.42x = 49,297,557.94
  5. Step 5: Solve for x
    x = 49,297,557.94/8,001.42
  6. Step 6: Final answer
    x = 6,161.10

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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.