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Finding the Fourth Proportional to 10,745.34, 16,117.94 and 5,846.12

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Solution

The fourth proportional to 10,745.34, 16,117.94 and 5,846.12 is: 8,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.34 : 16,117.94 = 5,846.12 : x
  2. Step 2: Convert to fraction form
    10,745.34/16,117.94 = 5,846.12/x
  3. Step 3: Cross multiply
    10,745.34x = 16,117.94 × 5,846.12
  4. Step 4: Simplify right side
    10,745.34x = 94,227,301.57
  5. Step 5: Solve for x
    x = 94,227,301.57/10,745.34
  6. Step 6: Final answer
    x = 8,769.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.