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Finding the Fourth Proportional to 7,820.71, 11,732.59 and 3,438.15

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Solution

The fourth proportional to 7,820.71, 11,732.59 and 3,438.15 is: 5,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.71 : 11,732.59 = 3,438.15 : x
  2. Step 2: Convert to fraction form
    7,820.71/11,732.59 = 3,438.15/x
  3. Step 3: Cross multiply
    7,820.71x = 11,732.59 × 3,438.15
  4. Step 4: Simplify right side
    7,820.71x = 40,338,404.31
  5. Step 5: Solve for x
    x = 40,338,404.31/7,820.71
  6. Step 6: Final answer
    x = 5,157.90

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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.