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Finding the Fourth Proportional to 10,958.96, 15,123.30 and 6,243.14

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Solution

The fourth proportional to 10,958.96, 15,123.30 and 6,243.14 is: 8,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.96 : 15,123.30 = 6,243.14 : x
  2. Step 2: Convert to fraction form
    10,958.96/15,123.30 = 6,243.14/x
  3. Step 3: Cross multiply
    10,958.96x = 15,123.30 × 6,243.14
  4. Step 4: Simplify right side
    10,958.96x = 94,416,879.16
  5. Step 5: Solve for x
    x = 94,416,879.16/10,958.96
  6. Step 6: Final answer
    x = 8,615.50

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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.