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Finding the Fourth Proportional to 7,023.92, 10,536.50 and 1,829.84

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Solution

The fourth proportional to 7,023.92, 10,536.50 and 1,829.84 is: 2,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.92 : 10,536.50 = 1,829.84 : x
  2. Step 2: Convert to fraction form
    7,023.92/10,536.50 = 1,829.84/x
  3. Step 3: Cross multiply
    7,023.92x = 10,536.50 × 1,829.84
  4. Step 4: Simplify right side
    7,023.92x = 19,280,061.05
  5. Step 5: Solve for x
    x = 19,280,061.05/7,023.92
  6. Step 6: Final answer
    x = 2,744.92

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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.