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Finding the Fourth Proportional to 10,115.00, 13,958.40 and 5,638.65

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Solution

The fourth proportional to 10,115.00, 13,958.40 and 5,638.65 is: 7,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.00 : 13,958.40 = 5,638.65 : x
  2. Step 2: Convert to fraction form
    10,115.00/13,958.40 = 5,638.65/x
  3. Step 3: Cross multiply
    10,115.00x = 13,958.40 × 5,638.65
  4. Step 4: Simplify right side
    10,115.00x = 78,706,532.16
  5. Step 5: Solve for x
    x = 78,706,532.16/10,115.00
  6. Step 6: Final answer
    x = 7,781.17

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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.