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Finding the Fourth Proportional to 11,602.80, 16,011.90 and 6,297.66

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Solution

The fourth proportional to 11,602.80, 16,011.90 and 6,297.66 is: 8,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.80 : 16,011.90 = 6,297.66 : x
  2. Step 2: Convert to fraction form
    11,602.80/16,011.90 = 6,297.66/x
  3. Step 3: Cross multiply
    11,602.80x = 16,011.90 × 6,297.66
  4. Step 4: Simplify right side
    11,602.80x = 100,837,502.15
  5. Step 5: Solve for x
    x = 100,837,502.15/11,602.80
  6. Step 6: Final answer
    x = 8,690.79

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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.