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Finding the Fourth Proportional to 10,085.73, 13,918.03 and 5,609.86

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Solution

The fourth proportional to 10,085.73, 13,918.03 and 5,609.86 is: 7,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.73 : 13,918.03 = 5,609.86 : x
  2. Step 2: Convert to fraction form
    10,085.73/13,918.03 = 5,609.86/x
  3. Step 3: Cross multiply
    10,085.73x = 13,918.03 × 5,609.86
  4. Step 4: Simplify right side
    10,085.73x = 78,078,199.78
  5. Step 5: Solve for x
    x = 78,078,199.78/10,085.73
  6. Step 6: Final answer
    x = 7,741.45

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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.