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Finding the Fourth Proportional to 10,467.84, 15,706.92 and 4,921.68

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Solution

The fourth proportional to 10,467.84, 15,706.92 and 4,921.68 is: 7,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.84 : 15,706.92 = 4,921.68 : x
  2. Step 2: Convert to fraction form
    10,467.84/15,706.92 = 4,921.68/x
  3. Step 3: Cross multiply
    10,467.84x = 15,706.92 × 4,921.68
  4. Step 4: Simplify right side
    10,467.84x = 77,304,434.03
  5. Step 5: Solve for x
    x = 77,304,434.03/10,467.84
  6. Step 6: Final answer
    x = 7,384.95

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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.