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Finding the Fourth Proportional to 11,776.76, 16,252.74 and 7,790.96

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Solution

The fourth proportional to 11,776.76, 16,252.74 and 7,790.96 is: 10,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.76 : 16,252.74 = 7,790.96 : x
  2. Step 2: Convert to fraction form
    11,776.76/16,252.74 = 7,790.96/x
  3. Step 3: Cross multiply
    11,776.76x = 16,252.74 × 7,790.96
  4. Step 4: Simplify right side
    11,776.76x = 126,624,447.23
  5. Step 5: Solve for x
    x = 126,624,447.23/11,776.76
  6. Step 6: Final answer
    x = 10,752.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.