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Finding the Fourth Proportional to 6,751.55, 10,102.66 and 4,109.42

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Solution

The fourth proportional to 6,751.55, 10,102.66 and 4,109.42 is: 6,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.55 : 10,102.66 = 4,109.42 : x
  2. Step 2: Convert to fraction form
    6,751.55/10,102.66 = 4,109.42/x
  3. Step 3: Cross multiply
    6,751.55x = 10,102.66 × 4,109.42
  4. Step 4: Simplify right side
    6,751.55x = 41,516,088.04
  5. Step 5: Solve for x
    x = 41,516,088.04/6,751.55
  6. Step 6: Final answer
    x = 6,149.12

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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.