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Finding the Fourth Proportional to 11,602.37, 16,011.56 and 6,297.17

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Solution

The fourth proportional to 11,602.37, 16,011.56 and 6,297.17 is: 8,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.37 : 16,011.56 = 6,297.17 : x
  2. Step 2: Convert to fraction form
    11,602.37/16,011.56 = 6,297.17/x
  3. Step 3: Cross multiply
    11,602.37x = 16,011.56 × 6,297.17
  4. Step 4: Simplify right side
    11,602.37x = 100,827,515.29
  5. Step 5: Solve for x
    x = 100,827,515.29/11,602.37
  6. Step 6: Final answer
    x = 8,690.25

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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.