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Finding the Fourth Proportional to 11,354.86, 15,671.08 and 6,878.50

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Solution

The fourth proportional to 11,354.86, 15,671.08 and 6,878.50 is: 9,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.86 : 15,671.08 = 6,878.50 : x
  2. Step 2: Convert to fraction form
    11,354.86/15,671.08 = 6,878.50/x
  3. Step 3: Cross multiply
    11,354.86x = 15,671.08 × 6,878.50
  4. Step 4: Simplify right side
    11,354.86x = 107,793,523.78
  5. Step 5: Solve for x
    x = 107,793,523.78/11,354.86
  6. Step 6: Final answer
    x = 9,493.16

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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.