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Finding the Fourth Proportional to 7,164.85, 10,743.81 and 3,003.74

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Solution

The fourth proportional to 7,164.85, 10,743.81 and 3,003.74 is: 4,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.85 : 10,743.81 = 3,003.74 : x
  2. Step 2: Convert to fraction form
    7,164.85/10,743.81 = 3,003.74/x
  3. Step 3: Cross multiply
    7,164.85x = 10,743.81 × 3,003.74
  4. Step 4: Simplify right side
    7,164.85x = 32,271,598.42
  5. Step 5: Solve for x
    x = 32,271,598.42/7,164.85
  6. Step 6: Final answer
    x = 4,504.16

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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.