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Finding the Fourth Proportional to 7,023.63, 10,536.05 and 1,829.50

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Solution

The fourth proportional to 7,023.63, 10,536.05 and 1,829.50 is: 2,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.63 : 10,536.05 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    7,023.63/10,536.05 = 1,829.50/x
  3. Step 3: Cross multiply
    7,023.63x = 10,536.05 × 1,829.50
  4. Step 4: Simplify right side
    7,023.63x = 19,275,703.48
  5. Step 5: Solve for x
    x = 19,275,703.48/7,023.63
  6. Step 6: Final answer
    x = 2,744.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.