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Finding the Fourth Proportional to 10,092.34, 13,926.86 and 5,615.87

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Solution

The fourth proportional to 10,092.34, 13,926.86 and 5,615.87 is: 7,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.34 : 13,926.86 = 5,615.87 : x
  2. Step 2: Convert to fraction form
    10,092.34/13,926.86 = 5,615.87/x
  3. Step 3: Cross multiply
    10,092.34x = 13,926.86 × 5,615.87
  4. Step 4: Simplify right side
    10,092.34x = 78,211,442.01
  5. Step 5: Solve for x
    x = 78,211,442.01/10,092.34
  6. Step 6: Final answer
    x = 7,749.59

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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.