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Finding the Fourth Proportional to 8,074.86, 11,142.88 and 4,537.84

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Solution

The fourth proportional to 8,074.86, 11,142.88 and 4,537.84 is: 6,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.86 : 11,142.88 = 4,537.84 : x
  2. Step 2: Convert to fraction form
    8,074.86/11,142.88 = 4,537.84/x
  3. Step 3: Cross multiply
    8,074.86x = 11,142.88 × 4,537.84
  4. Step 4: Simplify right side
    8,074.86x = 50,564,606.58
  5. Step 5: Solve for x
    x = 50,564,606.58/8,074.86
  6. Step 6: Final answer
    x = 6,261.98

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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.