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Finding the Fourth Proportional to 13,102.98, 18,082.70 and 7,725.64

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Solution

The fourth proportional to 13,102.98, 18,082.70 and 7,725.64 is: 10,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.98 : 18,082.70 = 7,725.64 : x
  2. Step 2: Convert to fraction form
    13,102.98/18,082.70 = 7,725.64/x
  3. Step 3: Cross multiply
    13,102.98x = 18,082.70 × 7,725.64
  4. Step 4: Simplify right side
    13,102.98x = 139,700,430.43
  5. Step 5: Solve for x
    x = 139,700,430.43/13,102.98
  6. Step 6: Final answer
    x = 10,661.73

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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.