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Finding the Fourth Proportional to 10,674.71, 14,734.23 and 6,200.47

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Solution

The fourth proportional to 10,674.71, 14,734.23 and 6,200.47 is: 8,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.71 : 14,734.23 = 6,200.47 : x
  2. Step 2: Convert to fraction form
    10,674.71/14,734.23 = 6,200.47/x
  3. Step 3: Cross multiply
    10,674.71x = 14,734.23 × 6,200.47
  4. Step 4: Simplify right side
    10,674.71x = 91,359,151.09
  5. Step 5: Solve for x
    x = 91,359,151.09/10,674.71
  6. Step 6: Final answer
    x = 8,558.47

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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.