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Finding the Fourth Proportional to 10,202.69, 14,076.16 and 6,426.17

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Solution

The fourth proportional to 10,202.69, 14,076.16 and 6,426.17 is: 8,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.69 : 14,076.16 = 6,426.17 : x
  2. Step 2: Convert to fraction form
    10,202.69/14,076.16 = 6,426.17/x
  3. Step 3: Cross multiply
    10,202.69x = 14,076.16 × 6,426.17
  4. Step 4: Simplify right side
    10,202.69x = 90,455,797.11
  5. Step 5: Solve for x
    x = 90,455,797.11/10,202.69
  6. Step 6: Final answer
    x = 8,865.88

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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.