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Finding the Fourth Proportional to 10,663.50, 14,716.28 and 5,883.42

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Solution

The fourth proportional to 10,663.50, 14,716.28 and 5,883.42 is: 8,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.50 : 14,716.28 = 5,883.42 : x
  2. Step 2: Convert to fraction form
    10,663.50/14,716.28 = 5,883.42/x
  3. Step 3: Cross multiply
    10,663.50x = 14,716.28 × 5,883.42
  4. Step 4: Simplify right side
    10,663.50x = 86,582,056.08
  5. Step 5: Solve for x
    x = 86,582,056.08/10,663.50
  6. Step 6: Final answer
    x = 8,119.48

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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.