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Finding the Fourth Proportional to 11,829.99, 16,325.16 and 6,452.49

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Solution

The fourth proportional to 11,829.99, 16,325.16 and 6,452.49 is: 8,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.99 : 16,325.16 = 6,452.49 : x
  2. Step 2: Convert to fraction form
    11,829.99/16,325.16 = 6,452.49/x
  3. Step 3: Cross multiply
    11,829.99x = 16,325.16 × 6,452.49
  4. Step 4: Simplify right side
    11,829.99x = 105,337,931.65
  5. Step 5: Solve for x
    x = 105,337,931.65/11,829.99
  6. Step 6: Final answer
    x = 8,904.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.