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Finding the Fourth Proportional to 7,092.96, 10,634.51 and 3,142.07

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Solution

The fourth proportional to 7,092.96, 10,634.51 and 3,142.07 is: 4,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.96 : 10,634.51 = 3,142.07 : x
  2. Step 2: Convert to fraction form
    7,092.96/10,634.51 = 3,142.07/x
  3. Step 3: Cross multiply
    7,092.96x = 10,634.51 × 3,142.07
  4. Step 4: Simplify right side
    7,092.96x = 33,414,385.71
  5. Step 5: Solve for x
    x = 33,414,385.71/7,092.96
  6. Step 6: Final answer
    x = 4,710.92

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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.