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Finding the Fourth Proportional to 7,221.60, 10,811.28 and 6,529.86

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Solution

The fourth proportional to 7,221.60, 10,811.28 and 6,529.86 is: 9,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.60 : 10,811.28 = 6,529.86 : x
  2. Step 2: Convert to fraction form
    7,221.60/10,811.28 = 6,529.86/x
  3. Step 3: Cross multiply
    7,221.60x = 10,811.28 × 6,529.86
  4. Step 4: Simplify right side
    7,221.60x = 70,596,144.82
  5. Step 5: Solve for x
    x = 70,596,144.82/7,221.60
  6. Step 6: Final answer
    x = 9,775.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.