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Finding the Fourth Proportional to 8,513.15, 12,765.34 and 3,829.16

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Solution

The fourth proportional to 8,513.15, 12,765.34 and 3,829.16 is: 5,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.15 : 12,765.34 = 3,829.16 : x
  2. Step 2: Convert to fraction form
    8,513.15/12,765.34 = 3,829.16/x
  3. Step 3: Cross multiply
    8,513.15x = 12,765.34 × 3,829.16
  4. Step 4: Simplify right side
    8,513.15x = 48,880,551.65
  5. Step 5: Solve for x
    x = 48,880,551.65/8,513.15
  6. Step 6: Final answer
    x = 5,741.77

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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.