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Finding the Fourth Proportional to 10,864.60, 14,989.64 and 6,083.82

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Solution

The fourth proportional to 10,864.60, 14,989.64 and 6,083.82 is: 8,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.60 : 14,989.64 = 6,083.82 : x
  2. Step 2: Convert to fraction form
    10,864.60/14,989.64 = 6,083.82/x
  3. Step 3: Cross multiply
    10,864.60x = 14,989.64 × 6,083.82
  4. Step 4: Simplify right side
    10,864.60x = 91,194,241.21
  5. Step 5: Solve for x
    x = 91,194,241.21/10,864.60
  6. Step 6: Final answer
    x = 8,393.71

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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.