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Finding the Fourth Proportional to 7,315.20, 10,967.04 and 3,415.68

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Solution

The fourth proportional to 7,315.20, 10,967.04 and 3,415.68 is: 5,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.20 : 10,967.04 = 3,415.68 : x
  2. Step 2: Convert to fraction form
    7,315.20/10,967.04 = 3,415.68/x
  3. Step 3: Cross multiply
    7,315.20x = 10,967.04 × 3,415.68
  4. Step 4: Simplify right side
    7,315.20x = 37,459,899.19
  5. Step 5: Solve for x
    x = 37,459,899.19/7,315.20
  6. Step 6: Final answer
    x = 5,120.83

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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.