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Finding the Fourth Proportional to 11,459.97, 15,811.74 and 6,613.49

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Solution

The fourth proportional to 11,459.97, 15,811.74 and 6,613.49 is: 9,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.97 : 15,811.74 = 6,613.49 : x
  2. Step 2: Convert to fraction form
    11,459.97/15,811.74 = 6,613.49/x
  3. Step 3: Cross multiply
    11,459.97x = 15,811.74 × 6,613.49
  4. Step 4: Simplify right side
    11,459.97x = 104,570,823.90
  5. Step 5: Solve for x
    x = 104,570,823.90/11,459.97
  6. Step 6: Final answer
    x = 9,124.88

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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.