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Finding the Fourth Proportional to 10,466.36, 15,683.82 and 9,478.52

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Solution

The fourth proportional to 10,466.36, 15,683.82 and 9,478.52 is: 14,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.36 : 15,683.82 = 9,478.52 : x
  2. Step 2: Convert to fraction form
    10,466.36/15,683.82 = 9,478.52/x
  3. Step 3: Cross multiply
    10,466.36x = 15,683.82 × 9,478.52
  4. Step 4: Simplify right side
    10,466.36x = 148,659,401.55
  5. Step 5: Solve for x
    x = 148,659,401.55/10,466.36
  6. Step 6: Final answer
    x = 14,203.54

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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.