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Finding the Fourth Proportional to 10,047.65, 15,072.21 and 3,384.17

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Solution

The fourth proportional to 10,047.65, 15,072.21 and 3,384.17 is: 5,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.65 : 15,072.21 = 3,384.17 : x
  2. Step 2: Convert to fraction form
    10,047.65/15,072.21 = 3,384.17/x
  3. Step 3: Cross multiply
    10,047.65x = 15,072.21 × 3,384.17
  4. Step 4: Simplify right side
    10,047.65x = 51,006,920.92
  5. Step 5: Solve for x
    x = 51,006,920.92/10,047.65
  6. Step 6: Final answer
    x = 5,076.50

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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.