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Finding the Fourth Proportional to 10,403.54, 14,357.76 and 6,426.44

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Solution

The fourth proportional to 10,403.54, 14,357.76 and 6,426.44 is: 8,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.54 : 14,357.76 = 6,426.44 : x
  2. Step 2: Convert to fraction form
    10,403.54/14,357.76 = 6,426.44/x
  3. Step 3: Cross multiply
    10,403.54x = 14,357.76 × 6,426.44
  4. Step 4: Simplify right side
    10,403.54x = 92,269,283.17
  5. Step 5: Solve for x
    x = 92,269,283.17/10,403.54
  6. Step 6: Final answer
    x = 8,869.03

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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.