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Finding the Fourth Proportional to 10,241.02, 15,363.54 and 4,694.50

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Solution

The fourth proportional to 10,241.02, 15,363.54 and 4,694.50 is: 7,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.02 : 15,363.54 = 4,694.50 : x
  2. Step 2: Convert to fraction form
    10,241.02/15,363.54 = 4,694.50/x
  3. Step 3: Cross multiply
    10,241.02x = 15,363.54 × 4,694.50
  4. Step 4: Simplify right side
    10,241.02x = 72,124,138.53
  5. Step 5: Solve for x
    x = 72,124,138.53/10,241.02
  6. Step 6: Final answer
    x = 7,042.67

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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.