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Finding the Fourth Proportional to 10,173.05, 14,037.17 and 5,696.99

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Solution

The fourth proportional to 10,173.05, 14,037.17 and 5,696.99 is: 7,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.05 : 14,037.17 = 5,696.99 : x
  2. Step 2: Convert to fraction form
    10,173.05/14,037.17 = 5,696.99/x
  3. Step 3: Cross multiply
    10,173.05x = 14,037.17 × 5,696.99
  4. Step 4: Simplify right side
    10,173.05x = 79,969,518.45
  5. Step 5: Solve for x
    x = 79,969,518.45/10,173.05
  6. Step 6: Final answer
    x = 7,860.92

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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.