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Finding the Fourth Proportional to 10,242.55, 15,363.81 and 2,847.01

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Solution

The fourth proportional to 10,242.55, 15,363.81 and 2,847.01 is: 4,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.55 : 15,363.81 = 2,847.01 : x
  2. Step 2: Convert to fraction form
    10,242.55/15,363.81 = 2,847.01/x
  3. Step 3: Cross multiply
    10,242.55x = 15,363.81 × 2,847.01
  4. Step 4: Simplify right side
    10,242.55x = 43,740,920.71
  5. Step 5: Solve for x
    x = 43,740,920.71/10,242.55
  6. Step 6: Final answer
    x = 4,270.51

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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.