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Finding the Fourth Proportional to 10,165.43, 14,036.95 and 6,394.91

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Solution

The fourth proportional to 10,165.43, 14,036.95 and 6,394.91 is: 8,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.43 : 14,036.95 = 6,394.91 : x
  2. Step 2: Convert to fraction form
    10,165.43/14,036.95 = 6,394.91/x
  3. Step 3: Cross multiply
    10,165.43x = 14,036.95 × 6,394.91
  4. Step 4: Simplify right side
    10,165.43x = 89,764,969.73
  5. Step 5: Solve for x
    x = 89,764,969.73/10,165.43
  6. Step 6: Final answer
    x = 8,830.42

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