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Finding the Fourth Proportional to 11,607.84, 16,018.97 and 6,302.75

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Solution

The fourth proportional to 11,607.84, 16,018.97 and 6,302.75 is: 8,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.84 : 16,018.97 = 6,302.75 : x
  2. Step 2: Convert to fraction form
    11,607.84/16,018.97 = 6,302.75/x
  3. Step 3: Cross multiply
    11,607.84x = 16,018.97 × 6,302.75
  4. Step 4: Simplify right side
    11,607.84x = 100,963,451.56
  5. Step 5: Solve for x
    x = 100,963,451.56/11,607.84
  6. Step 6: Final answer
    x = 8,697.87

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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.