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Finding the Fourth Proportional to 10,736.76, 14,824.13 and 8,214.47

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Solution

The fourth proportional to 10,736.76, 14,824.13 and 8,214.47 is: 11,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.76 : 14,824.13 = 8,214.47 : x
  2. Step 2: Convert to fraction form
    10,736.76/14,824.13 = 8,214.47/x
  3. Step 3: Cross multiply
    10,736.76x = 14,824.13 × 8,214.47
  4. Step 4: Simplify right side
    10,736.76x = 121,772,394.94
  5. Step 5: Solve for x
    x = 121,772,394.94/10,736.76
  6. Step 6: Final answer
    x = 11,341.63

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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.