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Finding the Fourth Proportional to 10,316.66, 14,236.77 and 5,600.90

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Solution

The fourth proportional to 10,316.66, 14,236.77 and 5,600.90 is: 7,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.66 : 14,236.77 = 5,600.90 : x
  2. Step 2: Convert to fraction form
    10,316.66/14,236.77 = 5,600.90/x
  3. Step 3: Cross multiply
    10,316.66x = 14,236.77 × 5,600.90
  4. Step 4: Simplify right side
    10,316.66x = 79,738,725.09
  5. Step 5: Solve for x
    x = 79,738,725.09/10,316.66
  6. Step 6: Final answer
    x = 7,729.12

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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.