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Finding the Fourth Proportional to 8,527.64, 12,793.20 and 3,597.28

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Solution

The fourth proportional to 8,527.64, 12,793.20 and 3,597.28 is: 5,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.64 : 12,793.20 = 3,597.28 : x
  2. Step 2: Convert to fraction form
    8,527.64/12,793.20 = 3,597.28/x
  3. Step 3: Cross multiply
    8,527.64x = 12,793.20 × 3,597.28
  4. Step 4: Simplify right side
    8,527.64x = 46,020,722.50
  5. Step 5: Solve for x
    x = 46,020,722.50/8,527.64
  6. Step 6: Final answer
    x = 5,396.65

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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.