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Finding the Fourth Proportional to 7,167.55, 10,749.16 and 2,783.96

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Solution

The fourth proportional to 7,167.55, 10,749.16 and 2,783.96 is: 4,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.55 : 10,749.16 = 2,783.96 : x
  2. Step 2: Convert to fraction form
    7,167.55/10,749.16 = 2,783.96/x
  3. Step 3: Cross multiply
    7,167.55x = 10,749.16 × 2,783.96
  4. Step 4: Simplify right side
    7,167.55x = 29,925,261.83
  5. Step 5: Solve for x
    x = 29,925,261.83/7,167.55
  6. Step 6: Final answer
    x = 4,175.10

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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.