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Finding the Fourth Proportional to 11,384.34, 15,710.44 and 6,348.88

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Solution

The fourth proportional to 11,384.34, 15,710.44 and 6,348.88 is: 8,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.34 : 15,710.44 = 6,348.88 : x
  2. Step 2: Convert to fraction form
    11,384.34/15,710.44 = 6,348.88/x
  3. Step 3: Cross multiply
    11,384.34x = 15,710.44 × 6,348.88
  4. Step 4: Simplify right side
    11,384.34x = 99,743,698.31
  5. Step 5: Solve for x
    x = 99,743,698.31/11,384.34
  6. Step 6: Final answer
    x = 8,761.48

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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.