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Finding the Fourth Proportional to 10,034.34, 13,847.23 and 5,496.98

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Solution

The fourth proportional to 10,034.34, 13,847.23 and 5,496.98 is: 7,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.34 : 13,847.23 = 5,496.98 : x
  2. Step 2: Convert to fraction form
    10,034.34/13,847.23 = 5,496.98/x
  3. Step 3: Cross multiply
    10,034.34x = 13,847.23 × 5,496.98
  4. Step 4: Simplify right side
    10,034.34x = 76,117,918.88
  5. Step 5: Solve for x
    x = 76,117,918.88/10,034.34
  6. Step 6: Final answer
    x = 7,585.75

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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.