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Finding the Fourth Proportional to 10,172.12, 14,037.93 and 5,695.83

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Solution

The fourth proportional to 10,172.12, 14,037.93 and 5,695.83 is: 7,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.12 : 14,037.93 = 5,695.83 : x
  2. Step 2: Convert to fraction form
    10,172.12/14,037.93 = 5,695.83/x
  3. Step 3: Cross multiply
    10,172.12x = 14,037.93 × 5,695.83
  4. Step 4: Simplify right side
    10,172.12x = 79,957,715.47
  5. Step 5: Solve for x
    x = 79,957,715.47/10,172.12
  6. Step 6: Final answer
    x = 7,860.48

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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.