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Finding the Fourth Proportional to 7,165.72, 10,750.74 and 2,235.88

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Solution

The fourth proportional to 7,165.72, 10,750.74 and 2,235.88 is: 3,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.72 : 10,750.74 = 2,235.88 : x
  2. Step 2: Convert to fraction form
    7,165.72/10,750.74 = 2,235.88/x
  3. Step 3: Cross multiply
    7,165.72x = 10,750.74 × 2,235.88
  4. Step 4: Simplify right side
    7,165.72x = 24,037,364.55
  5. Step 5: Solve for x
    x = 24,037,364.55/7,165.72
  6. Step 6: Final answer
    x = 3,354.49

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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.