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Finding the Fourth Proportional to 10,148.05, 14,004.97 and 5,671.99

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Solution

The fourth proportional to 10,148.05, 14,004.97 and 5,671.99 is: 7,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.05 : 14,004.97 = 5,671.99 : x
  2. Step 2: Convert to fraction form
    10,148.05/14,004.97 = 5,671.99/x
  3. Step 3: Cross multiply
    10,148.05x = 14,004.97 × 5,671.99
  4. Step 4: Simplify right side
    10,148.05x = 79,436,053.12
  5. Step 5: Solve for x
    x = 79,436,053.12/10,148.05
  6. Step 6: Final answer
    x = 7,827.72

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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.