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Finding the Fourth Proportional to 7,234.84, 10,851.04 and 2,039.50

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Solution

The fourth proportional to 7,234.84, 10,851.04 and 2,039.50 is: 3,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.84 : 10,851.04 = 2,039.50 : x
  2. Step 2: Convert to fraction form
    7,234.84/10,851.04 = 2,039.50/x
  3. Step 3: Cross multiply
    7,234.84x = 10,851.04 × 2,039.50
  4. Step 4: Simplify right side
    7,234.84x = 22,130,696.08
  5. Step 5: Solve for x
    x = 22,130,696.08/7,234.84
  6. Step 6: Final answer
    x = 3,058.91

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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.