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Finding the Fourth Proportional to 10,476.68, 15,736.95 and 8,836.43

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Solution

The fourth proportional to 10,476.68, 15,736.95 and 8,836.43 is: 13,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.68 : 15,736.95 = 8,836.43 : x
  2. Step 2: Convert to fraction form
    10,476.68/15,736.95 = 8,836.43/x
  3. Step 3: Cross multiply
    10,476.68x = 15,736.95 × 8,836.43
  4. Step 4: Simplify right side
    10,476.68x = 139,058,378.40
  5. Step 5: Solve for x
    x = 139,058,378.40/10,476.68
  6. Step 6: Final answer
    x = 13,273.14

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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.