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Finding the Fourth Proportional to 10,149.55, 13,991.48 and 6,564.24

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Solution

The fourth proportional to 10,149.55, 13,991.48 and 6,564.24 is: 9,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.55 : 13,991.48 = 6,564.24 : x
  2. Step 2: Convert to fraction form
    10,149.55/13,991.48 = 6,564.24/x
  3. Step 3: Cross multiply
    10,149.55x = 13,991.48 × 6,564.24
  4. Step 4: Simplify right side
    10,149.55x = 91,843,461.39
  5. Step 5: Solve for x
    x = 91,843,461.39/10,149.55
  6. Step 6: Final answer
    x = 9,049.02

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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.