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Finding the Fourth Proportional to 10,200.69, 15,288.73 and 5,267.63

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Solution

The fourth proportional to 10,200.69, 15,288.73 and 5,267.63 is: 7,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.69 : 15,288.73 = 5,267.63 : x
  2. Step 2: Convert to fraction form
    10,200.69/15,288.73 = 5,267.63/x
  3. Step 3: Cross multiply
    10,200.69x = 15,288.73 × 5,267.63
  4. Step 4: Simplify right side
    10,200.69x = 80,535,397.86
  5. Step 5: Solve for x
    x = 80,535,397.86/10,200.69
  6. Step 6: Final answer
    x = 7,895.09

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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.