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Finding the Fourth Proportional to 7,165.60, 10,742.82 and 3,415.43

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Solution

The fourth proportional to 7,165.60, 10,742.82 and 3,415.43 is: 5,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.60 : 10,742.82 = 3,415.43 : x
  2. Step 2: Convert to fraction form
    7,165.60/10,742.82 = 3,415.43/x
  3. Step 3: Cross multiply
    7,165.60x = 10,742.82 × 3,415.43
  4. Step 4: Simplify right side
    7,165.60x = 36,691,349.71
  5. Step 5: Solve for x
    x = 36,691,349.71/7,165.60
  6. Step 6: Final answer
    x = 5,120.49

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Why These Related Problems?

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