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Finding the Fourth Proportional to 7,129.34, 10,695.63 and 2,688.38

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Solution

The fourth proportional to 7,129.34, 10,695.63 and 2,688.38 is: 4,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.34 : 10,695.63 = 2,688.38 : x
  2. Step 2: Convert to fraction form
    7,129.34/10,695.63 = 2,688.38/x
  3. Step 3: Cross multiply
    7,129.34x = 10,695.63 × 2,688.38
  4. Step 4: Simplify right side
    7,129.34x = 28,753,917.78
  5. Step 5: Solve for x
    x = 28,753,917.78/7,129.34
  6. Step 6: Final answer
    x = 4,033.18

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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.