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Finding the Fourth Proportional to 8,505.24, 12,762.84 and 3,574.50

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Solution

The fourth proportional to 8,505.24, 12,762.84 and 3,574.50 is: 5,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.24 : 12,762.84 = 3,574.50 : x
  2. Step 2: Convert to fraction form
    8,505.24/12,762.84 = 3,574.50/x
  3. Step 3: Cross multiply
    8,505.24x = 12,762.84 × 3,574.50
  4. Step 4: Simplify right side
    8,505.24x = 45,620,771.58
  5. Step 5: Solve for x
    x = 45,620,771.58/8,505.24
  6. Step 6: Final answer
    x = 5,363.84

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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.