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Finding the Fourth Proportional to 11,607.75, 16,018.29 and 6,302.48

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Solution

The fourth proportional to 11,607.75, 16,018.29 and 6,302.48 is: 8,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.75 : 16,018.29 = 6,302.48 : x
  2. Step 2: Convert to fraction form
    11,607.75/16,018.29 = 6,302.48/x
  3. Step 3: Cross multiply
    11,607.75x = 16,018.29 × 6,302.48
  4. Step 4: Simplify right side
    11,607.75x = 100,954,872.27
  5. Step 5: Solve for x
    x = 100,954,872.27/11,607.75
  6. Step 6: Final answer
    x = 8,697.20

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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.