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Finding the Fourth Proportional to 10,671.84, 16,006.53 and 5,048.25

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Solution

The fourth proportional to 10,671.84, 16,006.53 and 5,048.25 is: 7,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.84 : 16,006.53 = 5,048.25 : x
  2. Step 2: Convert to fraction form
    10,671.84/16,006.53 = 5,048.25/x
  3. Step 3: Cross multiply
    10,671.84x = 16,006.53 × 5,048.25
  4. Step 4: Simplify right side
    10,671.84x = 80,804,965.07
  5. Step 5: Solve for x
    x = 80,804,965.07/10,671.84
  6. Step 6: Final answer
    x = 7,571.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.