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Finding the Fourth Proportional to 10,261.68, 14,160.24 and 5,784.48

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Solution

The fourth proportional to 10,261.68, 14,160.24 and 5,784.48 is: 7,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.68 : 14,160.24 = 5,784.48 : x
  2. Step 2: Convert to fraction form
    10,261.68/14,160.24 = 5,784.48/x
  3. Step 3: Cross multiply
    10,261.68x = 14,160.24 × 5,784.48
  4. Step 4: Simplify right side
    10,261.68x = 81,909,625.08
  5. Step 5: Solve for x
    x = 81,909,625.08/10,261.68
  6. Step 6: Final answer
    x = 7,982.09

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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.