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Finding the Fourth Proportional to 7,111.50, 10,671.09 and 3,463.50

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Solution

The fourth proportional to 7,111.50, 10,671.09 and 3,463.50 is: 5,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.50 : 10,671.09 = 3,463.50 : x
  2. Step 2: Convert to fraction form
    7,111.50/10,671.09 = 3,463.50/x
  3. Step 3: Cross multiply
    7,111.50x = 10,671.09 × 3,463.50
  4. Step 4: Simplify right side
    7,111.50x = 36,959,320.22
  5. Step 5: Solve for x
    x = 36,959,320.22/7,111.50
  6. Step 6: Final answer
    x = 5,197.12

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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.