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Finding the Fourth Proportional to 10,241.25, 14,133.99 and 6,265.01

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Solution

The fourth proportional to 10,241.25, 14,133.99 and 6,265.01 is: 8,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.25 : 14,133.99 = 6,265.01 : x
  2. Step 2: Convert to fraction form
    10,241.25/14,133.99 = 6,265.01/x
  3. Step 3: Cross multiply
    10,241.25x = 14,133.99 × 6,265.01
  4. Step 4: Simplify right side
    10,241.25x = 88,549,647.52
  5. Step 5: Solve for x
    x = 88,549,647.52/10,241.25
  6. Step 6: Final answer
    x = 8,646.37

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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.