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Finding the Fourth Proportional to 8,541.99, 12,775.95 and 5,023.62

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Solution

The fourth proportional to 8,541.99, 12,775.95 and 5,023.62 is: 7,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.99 : 12,775.95 = 5,023.62 : x
  2. Step 2: Convert to fraction form
    8,541.99/12,775.95 = 5,023.62/x
  3. Step 3: Cross multiply
    8,541.99x = 12,775.95 × 5,023.62
  4. Step 4: Simplify right side
    8,541.99x = 64,181,517.94
  5. Step 5: Solve for x
    x = 64,181,517.94/8,541.99
  6. Step 6: Final answer
    x = 7,513.65

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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.