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Finding the Fourth Proportional to 8,125.76, 11,222.88 and 5,343.68

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Solution

The fourth proportional to 8,125.76, 11,222.88 and 5,343.68 is: 7,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.76 : 11,222.88 = 5,343.68 : x
  2. Step 2: Convert to fraction form
    8,125.76/11,222.88 = 5,343.68/x
  3. Step 3: Cross multiply
    8,125.76x = 11,222.88 × 5,343.68
  4. Step 4: Simplify right side
    8,125.76x = 59,971,479.40
  5. Step 5: Solve for x
    x = 59,971,479.40/8,125.76
  6. Step 6: Final answer
    x = 7,380.41

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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.