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Finding the Fourth Proportional to 7,124.92, 10,688.24 and 2,967.76

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Solution

The fourth proportional to 7,124.92, 10,688.24 and 2,967.76 is: 4,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.92 : 10,688.24 = 2,967.76 : x
  2. Step 2: Convert to fraction form
    7,124.92/10,688.24 = 2,967.76/x
  3. Step 3: Cross multiply
    7,124.92x = 10,688.24 × 2,967.76
  4. Step 4: Simplify right side
    7,124.92x = 31,720,131.14
  5. Step 5: Solve for x
    x = 31,720,131.14/7,124.92
  6. Step 6: Final answer
    x = 4,452.00

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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.