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Finding the Fourth Proportional to 13,000.08, 17,938.92 and 7,962

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Solution

The fourth proportional to 13,000.08, 17,938.92 and 7,962 is: 10,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.08 : 17,938.92 = 7,962 : x
  2. Step 2: Convert to fraction form
    13,000.08/17,938.92 = 7,962/x
  3. Step 3: Cross multiply
    13,000.08x = 17,938.92 × 7,962
  4. Step 4: Simplify right side
    13,000.08x = 142,829,681.04
  5. Step 5: Solve for x
    x = 142,829,681.04/13,000.08
  6. Step 6: Final answer
    x = 10,986.83

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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.