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Finding the Fourth Proportional to 10,469.56, 15,683.58 and 6,310.66

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Solution

The fourth proportional to 10,469.56, 15,683.58 and 6,310.66 is: 9,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.56 : 15,683.58 = 6,310.66 : x
  2. Step 2: Convert to fraction form
    10,469.56/15,683.58 = 6,310.66/x
  3. Step 3: Cross multiply
    10,469.56x = 15,683.58 × 6,310.66
  4. Step 4: Simplify right side
    10,469.56x = 98,973,740.96
  5. Step 5: Solve for x
    x = 98,973,740.96/10,469.56
  6. Step 6: Final answer
    x = 9,453.48

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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.