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Finding the Fourth Proportional to 10,735.68, 16,086.16 and 5,807.64

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Solution

The fourth proportional to 10,735.68, 16,086.16 and 5,807.64 is: 8,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.68 : 16,086.16 = 5,807.64 : x
  2. Step 2: Convert to fraction form
    10,735.68/16,086.16 = 5,807.64/x
  3. Step 3: Cross multiply
    10,735.68x = 16,086.16 × 5,807.64
  4. Step 4: Simplify right side
    10,735.68x = 93,422,626.26
  5. Step 5: Solve for x
    x = 93,422,626.26/10,735.68
  6. Step 6: Final answer
    x = 8,702.07

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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.