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Finding the Fourth Proportional to 10,216.29, 14,104.94 and 6,685.47

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Solution

The fourth proportional to 10,216.29, 14,104.94 and 6,685.47 is: 9,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.29 : 14,104.94 = 6,685.47 : x
  2. Step 2: Convert to fraction form
    10,216.29/14,104.94 = 6,685.47/x
  3. Step 3: Cross multiply
    10,216.29x = 14,104.94 × 6,685.47
  4. Step 4: Simplify right side
    10,216.29x = 94,298,119.79
  5. Step 5: Solve for x
    x = 94,298,119.79/10,216.29
  6. Step 6: Final answer
    x = 9,230.17

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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.