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Finding the Fourth Proportional to 7,164.96, 10,748.08 and 2,783.52

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Solution

The fourth proportional to 7,164.96, 10,748.08 and 2,783.52 is: 4,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.96 : 10,748.08 = 2,783.52 : x
  2. Step 2: Convert to fraction form
    7,164.96/10,748.08 = 2,783.52/x
  3. Step 3: Cross multiply
    7,164.96x = 10,748.08 × 2,783.52
  4. Step 4: Simplify right side
    7,164.96x = 29,917,495.64
  5. Step 5: Solve for x
    x = 29,917,495.64/7,164.96
  6. Step 6: Final answer
    x = 4,175.53

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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.