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Finding the Fourth Proportional to 10,684.85, 14,744.85 and 5,969.12

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Solution

The fourth proportional to 10,684.85, 14,744.85 and 5,969.12 is: 8,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.85 : 14,744.85 = 5,969.12 : x
  2. Step 2: Convert to fraction form
    10,684.85/14,744.85 = 5,969.12/x
  3. Step 3: Cross multiply
    10,684.85x = 14,744.85 × 5,969.12
  4. Step 4: Simplify right side
    10,684.85x = 88,013,779.03
  5. Step 5: Solve for x
    x = 88,013,779.03/10,684.85
  6. Step 6: Final answer
    x = 8,237.25

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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.