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Finding the Fourth Proportional to 10,716.56, 16,072.32 and 6,038.64

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Solution

The fourth proportional to 10,716.56, 16,072.32 and 6,038.64 is: 9,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.56 : 16,072.32 = 6,038.64 : x
  2. Step 2: Convert to fraction form
    10,716.56/16,072.32 = 6,038.64/x
  3. Step 3: Cross multiply
    10,716.56x = 16,072.32 × 6,038.64
  4. Step 4: Simplify right side
    10,716.56x = 97,054,954.44
  5. Step 5: Solve for x
    x = 97,054,954.44/10,716.56
  6. Step 6: Final answer
    x = 9,056.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.