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Finding the Fourth Proportional to 11,776.55, 16,251.93 and 6,471.50

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Solution

The fourth proportional to 11,776.55, 16,251.93 and 6,471.50 is: 8,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.55 : 16,251.93 = 6,471.50 : x
  2. Step 2: Convert to fraction form
    11,776.55/16,251.93 = 6,471.50/x
  3. Step 3: Cross multiply
    11,776.55x = 16,251.93 × 6,471.50
  4. Step 4: Simplify right side
    11,776.55x = 105,174,283.74
  5. Step 5: Solve for x
    x = 105,174,283.74/11,776.55
  6. Step 6: Final answer
    x = 8,930.83

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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.