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Finding the Fourth Proportional to 7,108.16, 10,662.28 and 3,409.52

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Solution

The fourth proportional to 7,108.16, 10,662.28 and 3,409.52 is: 5,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.16 : 10,662.28 = 3,409.52 : x
  2. Step 2: Convert to fraction form
    7,108.16/10,662.28 = 3,409.52/x
  3. Step 3: Cross multiply
    7,108.16x = 10,662.28 × 3,409.52
  4. Step 4: Simplify right side
    7,108.16x = 36,353,256.91
  5. Step 5: Solve for x
    x = 36,353,256.91/7,108.16
  6. Step 6: Final answer
    x = 5,114.30

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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.