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Finding the Fourth Proportional to 10,085.28, 13,918.04 and 5,609.22

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Solution

The fourth proportional to 10,085.28, 13,918.04 and 5,609.22 is: 7,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.28 : 13,918.04 = 5,609.22 : x
  2. Step 2: Convert to fraction form
    10,085.28/13,918.04 = 5,609.22/x
  3. Step 3: Cross multiply
    10,085.28x = 13,918.04 × 5,609.22
  4. Step 4: Simplify right side
    10,085.28x = 78,069,348.33
  5. Step 5: Solve for x
    x = 78,069,348.33/10,085.28
  6. Step 6: Final answer
    x = 7,740.92

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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.