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Finding the Fourth Proportional to 11,452.86, 15,801.36 and 6,416.40

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Solution

The fourth proportional to 11,452.86, 15,801.36 and 6,416.40 is: 8,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.86 : 15,801.36 = 6,416.40 : x
  2. Step 2: Convert to fraction form
    11,452.86/15,801.36 = 6,416.40/x
  3. Step 3: Cross multiply
    11,452.86x = 15,801.36 × 6,416.40
  4. Step 4: Simplify right side
    11,452.86x = 101,387,846.30
  5. Step 5: Solve for x
    x = 101,387,846.30/11,452.86
  6. Step 6: Final answer
    x = 8,852.62

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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.