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Finding the Fourth Proportional to 10,965.66, 15,131.43 and 6,489.60

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Solution

The fourth proportional to 10,965.66, 15,131.43 and 6,489.60 is: 8,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.66 : 15,131.43 = 6,489.60 : x
  2. Step 2: Convert to fraction form
    10,965.66/15,131.43 = 6,489.60/x
  3. Step 3: Cross multiply
    10,965.66x = 15,131.43 × 6,489.60
  4. Step 4: Simplify right side
    10,965.66x = 98,196,928.13
  5. Step 5: Solve for x
    x = 98,196,928.13/10,965.66
  6. Step 6: Final answer
    x = 8,954.95

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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.