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Finding the Fourth Proportional to 11,165.82, 15,408.15 and 6,129.06

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Solution

The fourth proportional to 11,165.82, 15,408.15 and 6,129.06 is: 8,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.82 : 15,408.15 = 6,129.06 : x
  2. Step 2: Convert to fraction form
    11,165.82/15,408.15 = 6,129.06/x
  3. Step 3: Cross multiply
    11,165.82x = 15,408.15 × 6,129.06
  4. Step 4: Simplify right side
    11,165.82x = 94,437,475.84
  5. Step 5: Solve for x
    x = 94,437,475.84/11,165.82
  6. Step 6: Final answer
    x = 8,457.73

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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.