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Finding the Fourth Proportional to 10,866.50, 16,292.28 and 4,293.44

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Solution

The fourth proportional to 10,866.50, 16,292.28 and 4,293.44 is: 6,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.50 : 16,292.28 = 4,293.44 : x
  2. Step 2: Convert to fraction form
    10,866.50/16,292.28 = 4,293.44/x
  3. Step 3: Cross multiply
    10,866.50x = 16,292.28 × 4,293.44
  4. Step 4: Simplify right side
    10,866.50x = 69,949,926.64
  5. Step 5: Solve for x
    x = 69,949,926.64/10,866.50
  6. Step 6: Final answer
    x = 6,437.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.