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Finding the Fourth Proportional to 10,210.05, 14,092.07 and 6,230.31

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Solution

The fourth proportional to 10,210.05, 14,092.07 and 6,230.31 is: 8,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.05 : 14,092.07 = 6,230.31 : x
  2. Step 2: Convert to fraction form
    10,210.05/14,092.07 = 6,230.31/x
  3. Step 3: Cross multiply
    10,210.05x = 14,092.07 × 6,230.31
  4. Step 4: Simplify right side
    10,210.05x = 87,797,933.49
  5. Step 5: Solve for x
    x = 87,797,933.49/10,210.05
  6. Step 6: Final answer
    x = 8,599.17

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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.