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Finding the Fourth Proportional to 10,452.74, 14,426.99 and 6,263.42

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Solution

The fourth proportional to 10,452.74, 14,426.99 and 6,263.42 is: 8,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.74 : 14,426.99 = 6,263.42 : x
  2. Step 2: Convert to fraction form
    10,452.74/14,426.99 = 6,263.42/x
  3. Step 3: Cross multiply
    10,452.74x = 14,426.99 × 6,263.42
  4. Step 4: Simplify right side
    10,452.74x = 90,362,194.25
  5. Step 5: Solve for x
    x = 90,362,194.25/10,452.74
  6. Step 6: Final answer
    x = 8,644.84

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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.