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Finding the Fourth Proportional to 11,602.68, 16,011.71 and 6,297.49

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Solution

The fourth proportional to 11,602.68, 16,011.71 and 6,297.49 is: 8,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.68 : 16,011.71 = 6,297.49 : x
  2. Step 2: Convert to fraction form
    11,602.68/16,011.71 = 6,297.49/x
  3. Step 3: Cross multiply
    11,602.68x = 16,011.71 × 6,297.49
  4. Step 4: Simplify right side
    11,602.68x = 100,833,583.61
  5. Step 5: Solve for x
    x = 100,833,583.61/11,602.68
  6. Step 6: Final answer
    x = 8,690.55

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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.