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Finding the Fourth Proportional to 10,172.71, 14,037.93 and 5,923.89

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Solution

The fourth proportional to 10,172.71, 14,037.93 and 5,923.89 is: 8,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.71 : 14,037.93 = 5,923.89 : x
  2. Step 2: Convert to fraction form
    10,172.71/14,037.93 = 5,923.89/x
  3. Step 3: Cross multiply
    10,172.71x = 14,037.93 × 5,923.89
  4. Step 4: Simplify right side
    10,172.71x = 83,159,123.53
  5. Step 5: Solve for x
    x = 83,159,123.53/10,172.71
  6. Step 6: Final answer
    x = 8,174.73

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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.