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Finding the Fourth Proportional to 10,736.50, 14,803.89 and 10,072.30

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Solution

The fourth proportional to 10,736.50, 14,803.89 and 10,072.30 is: 13,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.50 : 14,803.89 = 10,072.30 : x
  2. Step 2: Convert to fraction form
    10,736.50/14,803.89 = 10,072.30/x
  3. Step 3: Cross multiply
    10,736.50x = 14,803.89 × 10,072.30
  4. Step 4: Simplify right side
    10,736.50x = 149,109,221.25
  5. Step 5: Solve for x
    x = 149,109,221.25/10,736.50
  6. Step 6: Final answer
    x = 13,888.07

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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.