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Finding the Fourth Proportional to 8,527.12, 11,760.76 and 5,543.92

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Solution

The fourth proportional to 8,527.12, 11,760.76 and 5,543.92 is: 7,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.12 : 11,760.76 = 5,543.92 : x
  2. Step 2: Convert to fraction form
    8,527.12/11,760.76 = 5,543.92/x
  3. Step 3: Cross multiply
    8,527.12x = 11,760.76 × 5,543.92
  4. Step 4: Simplify right side
    8,527.12x = 65,200,712.58
  5. Step 5: Solve for x
    x = 65,200,712.58/8,527.12
  6. Step 6: Final answer
    x = 7,646.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.