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Finding the Fourth Proportional to 10,553.90, 14,563.28 and 6,076.78

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Solution

The fourth proportional to 10,553.90, 14,563.28 and 6,076.78 is: 8,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.90 : 14,563.28 = 6,076.78 : x
  2. Step 2: Convert to fraction form
    10,553.90/14,563.28 = 6,076.78/x
  3. Step 3: Cross multiply
    10,553.90x = 14,563.28 × 6,076.78
  4. Step 4: Simplify right side
    10,553.90x = 88,497,827.42
  5. Step 5: Solve for x
    x = 88,497,827.42/10,553.90
  6. Step 6: Final answer
    x = 8,385.32

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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.