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Finding the Fourth Proportional to 11,468.50, 15,829.14 and 6,754.30

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Solution

The fourth proportional to 11,468.50, 15,829.14 and 6,754.30 is: 9,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.50 : 15,829.14 = 6,754.30 : x
  2. Step 2: Convert to fraction form
    11,468.50/15,829.14 = 6,754.30/x
  3. Step 3: Cross multiply
    11,468.50x = 15,829.14 × 6,754.30
  4. Step 4: Simplify right side
    11,468.50x = 106,914,760.30
  5. Step 5: Solve for x
    x = 106,914,760.30/11,468.50
  6. Step 6: Final answer
    x = 9,322.47

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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.