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Finding the Fourth Proportional to 7,164.25, 10,742.50 and 2,483.92

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Solution

The fourth proportional to 7,164.25, 10,742.50 and 2,483.92 is: 3,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.25 : 10,742.50 = 2,483.92 : x
  2. Step 2: Convert to fraction form
    7,164.25/10,742.50 = 2,483.92/x
  3. Step 3: Cross multiply
    7,164.25x = 10,742.50 × 2,483.92
  4. Step 4: Simplify right side
    7,164.25x = 26,683,459.72
  5. Step 5: Solve for x
    x = 26,683,459.72/7,164.25
  6. Step 6: Final answer
    x = 3,724.53

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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.