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Finding the Fourth Proportional to 10,894.14, 16,341.22 and 7,613.64

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Solution

The fourth proportional to 10,894.14, 16,341.22 and 7,613.64 is: 11,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.14 : 16,341.22 = 7,613.64 : x
  2. Step 2: Convert to fraction form
    10,894.14/16,341.22 = 7,613.64/x
  3. Step 3: Cross multiply
    10,894.14x = 16,341.22 × 7,613.64
  4. Step 4: Simplify right side
    10,894.14x = 124,416,169.03
  5. Step 5: Solve for x
    x = 124,416,169.03/10,894.14
  6. Step 6: Final answer
    x = 11,420.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.