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Finding the Fourth Proportional to 7,811.96, 10,785.53 and 6,971.22

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Solution

The fourth proportional to 7,811.96, 10,785.53 and 6,971.22 is: 9,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.96 : 10,785.53 = 6,971.22 : x
  2. Step 2: Convert to fraction form
    7,811.96/10,785.53 = 6,971.22/x
  3. Step 3: Cross multiply
    7,811.96x = 10,785.53 × 6,971.22
  4. Step 4: Simplify right side
    7,811.96x = 75,188,248.52
  5. Step 5: Solve for x
    x = 75,188,248.52/7,811.96
  6. Step 6: Final answer
    x = 9,624.76

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