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Finding the Fourth Proportional to 10,331.67, 14,257.67 and 5,615.94

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Solution

The fourth proportional to 10,331.67, 14,257.67 and 5,615.94 is: 7,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.67 : 14,257.67 = 5,615.94 : x
  2. Step 2: Convert to fraction form
    10,331.67/14,257.67 = 5,615.94/x
  3. Step 3: Cross multiply
    10,331.67x = 14,257.67 × 5,615.94
  4. Step 4: Simplify right side
    10,331.67x = 80,070,191.18
  5. Step 5: Solve for x
    x = 80,070,191.18/10,331.67
  6. Step 6: Final answer
    x = 7,749.98

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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.