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Finding the Fourth Proportional to 10,034.78, 13,857.38 and 6,455.96

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Solution

The fourth proportional to 10,034.78, 13,857.38 and 6,455.96 is: 8,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.78 : 13,857.38 = 6,455.96 : x
  2. Step 2: Convert to fraction form
    10,034.78/13,857.38 = 6,455.96/x
  3. Step 3: Cross multiply
    10,034.78x = 13,857.38 × 6,455.96
  4. Step 4: Simplify right side
    10,034.78x = 89,462,693.35
  5. Step 5: Solve for x
    x = 89,462,693.35/10,034.78
  6. Step 6: Final answer
    x = 8,915.26

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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.