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Finding the Fourth Proportional to 11,602.90, 16,012.01 and 6,297.71

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Solution

The fourth proportional to 11,602.90, 16,012.01 and 6,297.71 is: 8,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.90 : 16,012.01 = 6,297.71 : x
  2. Step 2: Convert to fraction form
    11,602.90/16,012.01 = 6,297.71/x
  3. Step 3: Cross multiply
    11,602.90x = 16,012.01 × 6,297.71
  4. Step 4: Simplify right side
    11,602.90x = 100,839,071.29
  5. Step 5: Solve for x
    x = 100,839,071.29/11,602.90
  6. Step 6: Final answer
    x = 8,690.85

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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.