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Finding the Fourth Proportional to 10,617.48, 15,924.06 and 5,942.16

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Solution

The fourth proportional to 10,617.48, 15,924.06 and 5,942.16 is: 8,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.48 : 15,924.06 = 5,942.16 : x
  2. Step 2: Convert to fraction form
    10,617.48/15,924.06 = 5,942.16/x
  3. Step 3: Cross multiply
    10,617.48x = 15,924.06 × 5,942.16
  4. Step 4: Simplify right side
    10,617.48x = 94,623,312.37
  5. Step 5: Solve for x
    x = 94,623,312.37/10,617.48
  6. Step 6: Final answer
    x = 8,912.03

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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.