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Finding the Fourth Proportional to 10,706.30, 16,062.24 and 4,464.26

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Solution

The fourth proportional to 10,706.30, 16,062.24 and 4,464.26 is: 6,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.30 : 16,062.24 = 4,464.26 : x
  2. Step 2: Convert to fraction form
    10,706.30/16,062.24 = 4,464.26/x
  3. Step 3: Cross multiply
    10,706.30x = 16,062.24 × 4,464.26
  4. Step 4: Simplify right side
    10,706.30x = 71,706,015.54
  5. Step 5: Solve for x
    x = 71,706,015.54/10,706.30
  6. Step 6: Final answer
    x = 6,697.55

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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.