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Finding the Fourth Proportional to 11,354.73, 15,670.82 and 6,878.40

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Solution

The fourth proportional to 11,354.73, 15,670.82 and 6,878.40 is: 9,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.73 : 15,670.82 = 6,878.40 : x
  2. Step 2: Convert to fraction form
    11,354.73/15,670.82 = 6,878.40/x
  3. Step 3: Cross multiply
    11,354.73x = 15,670.82 × 6,878.40
  4. Step 4: Simplify right side
    11,354.73x = 107,790,133.90
  5. Step 5: Solve for x
    x = 107,790,133.90/11,354.73
  6. Step 6: Final answer
    x = 9,492.97

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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.