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Finding the Fourth Proportional to 5,233.30, 7,866.15 and 5,136.10

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Solution

The fourth proportional to 5,233.30, 7,866.15 and 5,136.10 is: 7,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.30 : 7,866.15 = 5,136.10 : x
  2. Step 2: Convert to fraction form
    5,233.30/7,866.15 = 5,136.10/x
  3. Step 3: Cross multiply
    5,233.30x = 7,866.15 × 5,136.10
  4. Step 4: Simplify right side
    5,233.30x = 40,401,333.02
  5. Step 5: Solve for x
    x = 40,401,333.02/5,233.30
  6. Step 6: Final answer
    x = 7,720.05

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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.