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Finding the Fourth Proportional to 10,133.42, 13,979.27 and 6,354.69

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Solution

The fourth proportional to 10,133.42, 13,979.27 and 6,354.69 is: 8,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.42 : 13,979.27 = 6,354.69 : x
  2. Step 2: Convert to fraction form
    10,133.42/13,979.27 = 6,354.69/x
  3. Step 3: Cross multiply
    10,133.42x = 13,979.27 × 6,354.69
  4. Step 4: Simplify right side
    10,133.42x = 88,833,927.28
  5. Step 5: Solve for x
    x = 88,833,927.28/10,133.42
  6. Step 6: Final answer
    x = 8,766.43

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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.