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Finding the Fourth Proportional to 10,173, 14,037.56 and 5,924.99

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Solution

The fourth proportional to 10,173, 14,037.56 and 5,924.99 is: 8,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173 : 14,037.56 = 5,924.99 : x
  2. Step 2: Convert to fraction form
    10,173/14,037.56 = 5,924.99/x
  3. Step 3: Cross multiply
    10,173x = 14,037.56 × 5,924.99
  4. Step 4: Simplify right side
    10,173x = 83,172,408.09
  5. Step 5: Solve for x
    x = 83,172,408.09/10,173
  6. Step 6: Final answer
    x = 8,175.80

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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.