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Finding the Fourth Proportional to 10,384.14, 14,330.07 and 5,668.41

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Solution

The fourth proportional to 10,384.14, 14,330.07 and 5,668.41 is: 7,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.14 : 14,330.07 = 5,668.41 : x
  2. Step 2: Convert to fraction form
    10,384.14/14,330.07 = 5,668.41/x
  3. Step 3: Cross multiply
    10,384.14x = 14,330.07 × 5,668.41
  4. Step 4: Simplify right side
    10,384.14x = 81,228,712.09
  5. Step 5: Solve for x
    x = 81,228,712.09/10,384.14
  6. Step 6: Final answer
    x = 7,822.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.