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Finding the Fourth Proportional to 11,575.77, 17,353.25 and 4,178.49

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Solution

The fourth proportional to 11,575.77, 17,353.25 and 4,178.49 is: 6,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.77 : 17,353.25 = 4,178.49 : x
  2. Step 2: Convert to fraction form
    11,575.77/17,353.25 = 4,178.49/x
  3. Step 3: Cross multiply
    11,575.77x = 17,353.25 × 4,178.49
  4. Step 4: Simplify right side
    11,575.77x = 72,510,392.04
  5. Step 5: Solve for x
    x = 72,510,392.04/11,575.77
  6. Step 6: Final answer
    x = 6,263.98

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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.