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Finding the Fourth Proportional to 10,242.90, 14,135.21 and 5,766.68

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Solution

The fourth proportional to 10,242.90, 14,135.21 and 5,766.68 is: 7,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.90 : 14,135.21 = 5,766.68 : x
  2. Step 2: Convert to fraction form
    10,242.90/14,135.21 = 5,766.68/x
  3. Step 3: Cross multiply
    10,242.90x = 14,135.21 × 5,766.68
  4. Step 4: Simplify right side
    10,242.90x = 81,513,232.80
  5. Step 5: Solve for x
    x = 81,513,232.80/10,242.90
  6. Step 6: Final answer
    x = 7,958.02

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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.