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Finding the Fourth Proportional to 11,354.31, 15,670.60 and 6,817.29

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Solution

The fourth proportional to 11,354.31, 15,670.60 and 6,817.29 is: 9,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.31 : 15,670.60 = 6,817.29 : x
  2. Step 2: Convert to fraction form
    11,354.31/15,670.60 = 6,817.29/x
  3. Step 3: Cross multiply
    11,354.31x = 15,670.60 × 6,817.29
  4. Step 4: Simplify right side
    11,354.31x = 106,831,024.67
  5. Step 5: Solve for x
    x = 106,831,024.67/11,354.31
  6. Step 6: Final answer
    x = 9,408.85

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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.