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Finding the Fourth Proportional to 7,102.75, 10,650.37 and 3,152.29

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Solution

The fourth proportional to 7,102.75, 10,650.37 and 3,152.29 is: 4,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.75 : 10,650.37 = 3,152.29 : x
  2. Step 2: Convert to fraction form
    7,102.75/10,650.37 = 3,152.29/x
  3. Step 3: Cross multiply
    7,102.75x = 10,650.37 × 3,152.29
  4. Step 4: Simplify right side
    7,102.75x = 33,573,089.47
  5. Step 5: Solve for x
    x = 33,573,089.47/7,102.75
  6. Step 6: Final answer
    x = 4,726.77

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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.